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Finding the Fourth Proportional to 78,375.48, 117,577.80 and 25,821.78

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Solution

The fourth proportional to 78,375.48, 117,577.80 and 25,821.78 is: 38,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375.48 : 117,577.80 = 25,821.78 : x
  2. Step 2: Convert to fraction form
    78,375.48/117,577.80 = 25,821.78/x
  3. Step 3: Cross multiply
    78,375.48x = 117,577.80 × 25,821.78
  4. Step 4: Simplify right side
    78,375.48x = 3,036,068,084.48
  5. Step 5: Solve for x
    x = 3,036,068,084.48/78,375.48
  6. Step 6: Final answer
    x = 38,737.47

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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.