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Finding the Fourth Proportional to 157,231.71, 216,976.95 and 85,610.43

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Solution

The fourth proportional to 157,231.71, 216,976.95 and 85,610.43 is: 118,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,231.71 : 216,976.95 = 85,610.43 : x
  2. Step 2: Convert to fraction form
    157,231.71/216,976.95 = 85,610.43/x
  3. Step 3: Cross multiply
    157,231.71x = 216,976.95 × 85,610.43
  4. Step 4: Simplify right side
    157,231.71x = 18,575,489,989.59
  5. Step 5: Solve for x
    x = 18,575,489,989.59/157,231.71
  6. Step 6: Final answer
    x = 118,140.86

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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.