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Finding the Fourth Proportional to 52,591.68, 78,894 and 21,422.88

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Solution

The fourth proportional to 52,591.68, 78,894 and 21,422.88 is: 32,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591.68 : 78,894 = 21,422.88 : x
  2. Step 2: Convert to fraction form
    52,591.68/78,894 = 21,422.88/x
  3. Step 3: Cross multiply
    52,591.68x = 78,894 × 21,422.88
  4. Step 4: Simplify right side
    52,591.68x = 1,690,136,694.72
  5. Step 5: Solve for x
    x = 1,690,136,694.72/52,591.68
  6. Step 6: Final answer
    x = 32,136.96

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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.