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Finding the Fourth Proportional to 81,981.70, 122,972.55 and 40,423.30

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Solution

The fourth proportional to 81,981.70, 122,972.55 and 40,423.30 is: 60,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981.70 : 122,972.55 = 40,423.30 : x
  2. Step 2: Convert to fraction form
    81,981.70/122,972.55 = 40,423.30/x
  3. Step 3: Cross multiply
    81,981.70x = 122,972.55 × 40,423.30
  4. Step 4: Simplify right side
    81,981.70x = 4,970,956,280.42
  5. Step 5: Solve for x
    x = 4,970,956,280.42/81,981.70
  6. Step 6: Final answer
    x = 60,634.95

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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.