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Finding the Fourth Proportional to 138,046.80, 206,948.70 and 93,529.20

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Solution

The fourth proportional to 138,046.80, 206,948.70 and 93,529.20 is: 140,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,046.80 : 206,948.70 = 93,529.20 : x
  2. Step 2: Convert to fraction form
    138,046.80/206,948.70 = 93,529.20/x
  3. Step 3: Cross multiply
    138,046.80x = 206,948.70 × 93,529.20
  4. Step 4: Simplify right side
    138,046.80x = 19,355,746,352.04
  5. Step 5: Solve for x
    x = 19,355,746,352.04/138,046.80
  6. Step 6: Final answer
    x = 140,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.