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Finding the Fourth Proportional to 52,603.68, 78,912 and 21,434.88

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Solution

The fourth proportional to 52,603.68, 78,912 and 21,434.88 is: 32,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,603.68 : 78,912 = 21,434.88 : x
  2. Step 2: Convert to fraction form
    52,603.68/78,912 = 21,434.88/x
  3. Step 3: Cross multiply
    52,603.68x = 78,912 × 21,434.88
  4. Step 4: Simplify right side
    52,603.68x = 1,691,469,250.56
  5. Step 5: Solve for x
    x = 1,691,469,250.56/52,603.68
  6. Step 6: Final answer
    x = 32,154.96

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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.