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Finding the Fourth Proportional to 83,470.82, 115,122.71 and 73,377.86

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Solution

The fourth proportional to 83,470.82, 115,122.71 and 73,377.86 is: 101,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.82 : 115,122.71 = 73,377.86 : x
  2. Step 2: Convert to fraction form
    83,470.82/115,122.71 = 73,377.86/x
  3. Step 3: Cross multiply
    83,470.82x = 115,122.71 × 73,377.86
  4. Step 4: Simplify right side
    83,470.82x = 8,447,457,154.70
  5. Step 5: Solve for x
    x = 8,447,457,154.70/83,470.82
  6. Step 6: Final answer
    x = 101,202.52

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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.