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Finding the Fourth Proportional to 71,286.48, 106,881.12 and 36,158.40

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Solution

The fourth proportional to 71,286.48, 106,881.12 and 36,158.40 is: 54,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286.48 : 106,881.12 = 36,158.40 : x
  2. Step 2: Convert to fraction form
    71,286.48/106,881.12 = 36,158.40/x
  3. Step 3: Cross multiply
    71,286.48x = 106,881.12 × 36,158.40
  4. Step 4: Simplify right side
    71,286.48x = 3,864,650,289.41
  5. Step 5: Solve for x
    x = 3,864,650,289.41/71,286.48
  6. Step 6: Final answer
    x = 54,212.95

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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.