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Finding the Fourth Proportional to 156,329.82, 215,734.80 and 84,711.78

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Solution

The fourth proportional to 156,329.82, 215,734.80 and 84,711.78 is: 116,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,329.82 : 215,734.80 = 84,711.78 : x
  2. Step 2: Convert to fraction form
    156,329.82/215,734.80 = 84,711.78/x
  3. Step 3: Cross multiply
    156,329.82x = 215,734.80 × 84,711.78
  4. Step 4: Simplify right side
    156,329.82x = 18,275,278,915.94
  5. Step 5: Solve for x
    x = 18,275,278,915.94/156,329.82
  6. Step 6: Final answer
    x = 116,902.07

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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.