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Finding the Fourth Proportional to 78,372.35, 117,562.97 and 25,069

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Solution

The fourth proportional to 78,372.35, 117,562.97 and 25,069 is: 37,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.35 : 117,562.97 = 25,069 : x
  2. Step 2: Convert to fraction form
    78,372.35/117,562.97 = 25,069/x
  3. Step 3: Cross multiply
    78,372.35x = 117,562.97 × 25,069
  4. Step 4: Simplify right side
    78,372.35x = 2,947,186,094.93
  5. Step 5: Solve for x
    x = 2,947,186,094.93/78,372.35
  6. Step 6: Final answer
    x = 37,604.92

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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.