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Finding the Fourth Proportional to 258,102.16, 356,219.56 and 157,558.48

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Solution

The fourth proportional to 258,102.16, 356,219.56 and 157,558.48 is: 217,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,102.16 : 356,219.56 = 157,558.48 : x
  2. Step 2: Convert to fraction form
    258,102.16/356,219.56 = 157,558.48/x
  3. Step 3: Cross multiply
    258,102.16x = 356,219.56 × 157,558.48
  4. Step 4: Simplify right side
    258,102.16x = 56,125,412,419.87
  5. Step 5: Solve for x
    x = 56,125,412,419.87/258,102.16
  6. Step 6: Final answer
    x = 217,454.25

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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.