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Finding the Fourth Proportional to 258,009, 356,051.04 and 141,724.76

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Solution

The fourth proportional to 258,009, 356,051.04 and 141,724.76 is: 195,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009 : 356,051.04 = 141,724.76 : x
  2. Step 2: Convert to fraction form
    258,009/356,051.04 = 141,724.76/x
  3. Step 3: Cross multiply
    258,009x = 356,051.04 × 141,724.76
  4. Step 4: Simplify right side
    258,009x = 50,461,248,191.75
  5. Step 5: Solve for x
    x = 50,461,248,191.75/258,009
  6. Step 6: Final answer
    x = 195,579.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.