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Finding the Fourth Proportional to 71,132.52, 106,710.30 and 21,873

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Solution

The fourth proportional to 71,132.52, 106,710.30 and 21,873 is: 32,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132.52 : 106,710.30 = 21,873 : x
  2. Step 2: Convert to fraction form
    71,132.52/106,710.30 = 21,873/x
  3. Step 3: Cross multiply
    71,132.52x = 106,710.30 × 21,873
  4. Step 4: Simplify right side
    71,132.52x = 2,334,074,391.90
  5. Step 5: Solve for x
    x = 2,334,074,391.90/71,132.52
  6. Step 6: Final answer
    x = 32,813.04

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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.