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Finding the Fourth Proportional to 71,191.29, 106,787.84 and 21,259.95

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Solution

The fourth proportional to 71,191.29, 106,787.84 and 21,259.95 is: 31,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,191.29 : 106,787.84 = 21,259.95 : x
  2. Step 2: Convert to fraction form
    71,191.29/106,787.84 = 21,259.95/x
  3. Step 3: Cross multiply
    71,191.29x = 106,787.84 × 21,259.95
  4. Step 4: Simplify right side
    71,191.29x = 2,270,304,032.71
  5. Step 5: Solve for x
    x = 2,270,304,032.71/71,191.29
  6. Step 6: Final answer
    x = 31,890.19

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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.