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Finding the Fourth Proportional to 83,121.80, 124,737.26 and 30,531.72

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Solution

The fourth proportional to 83,121.80, 124,737.26 and 30,531.72 is: 45,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.80 : 124,737.26 = 30,531.72 : x
  2. Step 2: Convert to fraction form
    83,121.80/124,737.26 = 30,531.72/x
  3. Step 3: Cross multiply
    83,121.80x = 124,737.26 × 30,531.72
  4. Step 4: Simplify right side
    83,121.80x = 3,808,443,095.89
  5. Step 5: Solve for x
    x = 3,808,443,095.89/83,121.80
  6. Step 6: Final answer
    x = 45,817.62

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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.