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Finding the Fourth Proportional to 71,178.64, 106,772.82 and 21,257.80

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Solution

The fourth proportional to 71,178.64, 106,772.82 and 21,257.80 is: 31,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.64 : 106,772.82 = 21,257.80 : x
  2. Step 2: Convert to fraction form
    71,178.64/106,772.82 = 21,257.80/x
  3. Step 3: Cross multiply
    71,178.64x = 106,772.82 × 21,257.80
  4. Step 4: Simplify right side
    71,178.64x = 2,269,755,253.00
  5. Step 5: Solve for x
    x = 2,269,755,253.00/71,178.64
  6. Step 6: Final answer
    x = 31,888.15

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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.