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Finding the Fourth Proportional to 81,425.70, 122,138.55 and 53,432.10

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Solution

The fourth proportional to 81,425.70, 122,138.55 and 53,432.10 is: 80,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,425.70 : 122,138.55 = 53,432.10 : x
  2. Step 2: Convert to fraction form
    81,425.70/122,138.55 = 53,432.10/x
  3. Step 3: Cross multiply
    81,425.70x = 122,138.55 × 53,432.10
  4. Step 4: Simplify right side
    81,425.70x = 6,526,119,217.46
  5. Step 5: Solve for x
    x = 6,526,119,217.46/81,425.70
  6. Step 6: Final answer
    x = 80,148.15

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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.