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Finding the Fourth Proportional to 71,225.28, 106,935.12 and 36,189.72

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Solution

The fourth proportional to 71,225.28, 106,935.12 and 36,189.72 is: 54,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225.28 : 106,935.12 = 36,189.72 : x
  2. Step 2: Convert to fraction form
    71,225.28/106,935.12 = 36,189.72/x
  3. Step 3: Cross multiply
    71,225.28x = 106,935.12 × 36,189.72
  4. Step 4: Simplify right side
    71,225.28x = 3,869,952,050.97
  5. Step 5: Solve for x
    x = 3,869,952,050.97/71,225.28
  6. Step 6: Final answer
    x = 54,333.97

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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.