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Finding the Fourth Proportional to 157,735.91, 217,665.43 and 86,115.78

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Solution

The fourth proportional to 157,735.91, 217,665.43 and 86,115.78 is: 118,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735.91 : 217,665.43 = 86,115.78 : x
  2. Step 2: Convert to fraction form
    157,735.91/217,665.43 = 86,115.78/x
  3. Step 3: Cross multiply
    157,735.91x = 217,665.43 × 86,115.78
  4. Step 4: Simplify right side
    157,735.91x = 18,744,427,852.91
  5. Step 5: Solve for x
    x = 18,744,427,852.91/157,735.91
  6. Step 6: Final answer
    x = 118,834.25

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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.