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Finding the Fourth Proportional to 83,281.40, 124,920.96 and 20,100.96

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Solution

The fourth proportional to 83,281.40, 124,920.96 and 20,100.96 is: 30,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.40 : 124,920.96 = 20,100.96 : x
  2. Step 2: Convert to fraction form
    83,281.40/124,920.96 = 20,100.96/x
  3. Step 3: Cross multiply
    83,281.40x = 124,920.96 × 20,100.96
  4. Step 4: Simplify right side
    83,281.40x = 2,511,031,220.12
  5. Step 5: Solve for x
    x = 2,511,031,220.12/83,281.40
  6. Step 6: Final answer
    x = 30,151.16

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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.