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Finding the Fourth Proportional to 157,762.68, 217,711.36 and 86,142.64

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Solution

The fourth proportional to 157,762.68, 217,711.36 and 86,142.64 is: 118,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,762.68 : 217,711.36 = 86,142.64 : x
  2. Step 2: Convert to fraction form
    157,762.68/217,711.36 = 86,142.64/x
  3. Step 3: Cross multiply
    157,762.68x = 217,711.36 × 86,142.64
  4. Step 4: Simplify right side
    157,762.68x = 18,754,231,308.39
  5. Step 5: Solve for x
    x = 18,754,231,308.39/157,762.68
  6. Step 6: Final answer
    x = 118,876.22

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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.