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Finding the Fourth Proportional to 157,180.92, 216,914.52 and 85,565.70

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Solution

The fourth proportional to 157,180.92, 216,914.52 and 85,565.70 is: 118,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,180.92 : 216,914.52 = 85,565.70 : x
  2. Step 2: Convert to fraction form
    157,180.92/216,914.52 = 85,565.70/x
  3. Step 3: Cross multiply
    157,180.92x = 216,914.52 × 85,565.70
  4. Step 4: Simplify right side
    157,180.92x = 18,560,442,743.96
  5. Step 5: Solve for x
    x = 18,560,442,743.96/157,180.92
  6. Step 6: Final answer
    x = 118,083.31

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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.