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Finding the Fourth Proportional to 71,442.88, 107,182.08 and 21,521.84

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Solution

The fourth proportional to 71,442.88, 107,182.08 and 21,521.84 is: 32,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.88 : 107,182.08 = 21,521.84 : x
  2. Step 2: Convert to fraction form
    71,442.88/107,182.08 = 21,521.84/x
  3. Step 3: Cross multiply
    71,442.88x = 107,182.08 × 21,521.84
  4. Step 4: Simplify right side
    71,442.88x = 2,306,755,576.63
  5. Step 5: Solve for x
    x = 2,306,755,576.63/71,442.88
  6. Step 6: Final answer
    x = 32,288.11

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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.