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Finding the Fourth Proportional to 47,882.76, 71,855.12 and 21,585.90

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Solution

The fourth proportional to 47,882.76, 71,855.12 and 21,585.90 is: 32,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.76 : 71,855.12 = 21,585.90 : x
  2. Step 2: Convert to fraction form
    47,882.76/71,855.12 = 21,585.90/x
  3. Step 3: Cross multiply
    47,882.76x = 71,855.12 × 21,585.90
  4. Step 4: Simplify right side
    47,882.76x = 1,551,057,434.81
  5. Step 5: Solve for x
    x = 1,551,057,434.81/47,882.76
  6. Step 6: Final answer
    x = 32,392.82

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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.