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Finding the Fourth Proportional to 78,472.80, 117,692.73 and 25,869.96

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Solution

The fourth proportional to 78,472.80, 117,692.73 and 25,869.96 is: 38,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472.80 : 117,692.73 = 25,869.96 : x
  2. Step 2: Convert to fraction form
    78,472.80/117,692.73 = 25,869.96/x
  3. Step 3: Cross multiply
    78,472.80x = 117,692.73 × 25,869.96
  4. Step 4: Simplify right side
    78,472.80x = 3,044,706,217.39
  5. Step 5: Solve for x
    x = 3,044,706,217.39/78,472.80
  6. Step 6: Final answer
    x = 38,799.51

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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.