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Finding the Fourth Proportional to 99,381.60, 148,957.20 and 40,178.40

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Solution

The fourth proportional to 99,381.60, 148,957.20 and 40,178.40 is: 60,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,381.60 : 148,957.20 = 40,178.40 : x
  2. Step 2: Convert to fraction form
    99,381.60/148,957.20 = 40,178.40/x
  3. Step 3: Cross multiply
    99,381.60x = 148,957.20 × 40,178.40
  4. Step 4: Simplify right side
    99,381.60x = 5,984,861,964.48
  5. Step 5: Solve for x
    x = 5,984,861,964.48/99,381.60
  6. Step 6: Final answer
    x = 60,221.03

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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.