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Finding the Fourth Proportional to 151,481.50, 209,045.93 and 83,501.09

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Solution

The fourth proportional to 151,481.50, 209,045.93 and 83,501.09 is: 115,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,481.50 : 209,045.93 = 83,501.09 : x
  2. Step 2: Convert to fraction form
    151,481.50/209,045.93 = 83,501.09/x
  3. Step 3: Cross multiply
    151,481.50x = 209,045.93 × 83,501.09
  4. Step 4: Simplify right side
    151,481.50x = 17,455,563,015.06
  5. Step 5: Solve for x
    x = 17,455,563,015.06/151,481.50
  6. Step 6: Final answer
    x = 115,232.31

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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.