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Finding the Fourth Proportional to 83,135.80, 124,630.80 and 49,869.10

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Solution

The fourth proportional to 83,135.80, 124,630.80 and 49,869.10 is: 74,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135.80 : 124,630.80 = 49,869.10 : x
  2. Step 2: Convert to fraction form
    83,135.80/124,630.80 = 49,869.10/x
  3. Step 3: Cross multiply
    83,135.80x = 124,630.80 × 49,869.10
  4. Step 4: Simplify right side
    83,135.80x = 6,215,225,828.28
  5. Step 5: Solve for x
    x = 6,215,225,828.28/83,135.80
  6. Step 6: Final answer
    x = 74,759.92

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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.