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Finding the Fourth Proportional to 83,134.40, 124,701.60 and 49,956.80

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Solution

The fourth proportional to 83,134.40, 124,701.60 and 49,956.80 is: 74,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.40 : 124,701.60 = 49,956.80 : x
  2. Step 2: Convert to fraction form
    83,134.40/124,701.60 = 49,956.80/x
  3. Step 3: Cross multiply
    83,134.40x = 124,701.60 × 49,956.80
  4. Step 4: Simplify right side
    83,134.40x = 6,229,692,890.88
  5. Step 5: Solve for x
    x = 6,229,692,890.88/83,134.40
  6. Step 6: Final answer
    x = 74,935.20

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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.