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Finding the Fourth Proportional to 71,023.31, 106,531.28 and 21,103.82

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Solution

The fourth proportional to 71,023.31, 106,531.28 and 21,103.82 is: 31,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023.31 : 106,531.28 = 21,103.82 : x
  2. Step 2: Convert to fraction form
    71,023.31/106,531.28 = 21,103.82/x
  3. Step 3: Cross multiply
    71,023.31x = 106,531.28 × 21,103.82
  4. Step 4: Simplify right side
    71,023.31x = 2,248,216,957.49
  5. Step 5: Solve for x
    x = 2,248,216,957.49/71,023.31
  6. Step 6: Final answer
    x = 31,654.64

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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.