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Finding the Fourth Proportional to 157,672.50, 217,592.64 and 86,057.10

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Solution

The fourth proportional to 157,672.50, 217,592.64 and 86,057.10 is: 118,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,672.50 : 217,592.64 = 86,057.10 : x
  2. Step 2: Convert to fraction form
    157,672.50/217,592.64 = 86,057.10/x
  3. Step 3: Cross multiply
    157,672.50x = 217,592.64 × 86,057.10
  4. Step 4: Simplify right side
    157,672.50x = 18,725,391,579.74
  5. Step 5: Solve for x
    x = 18,725,391,579.74/157,672.50
  6. Step 6: Final answer
    x = 118,761.30

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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.