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Finding the Fourth Proportional to 78,064.56, 117,103.32 and 25,472.88

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Solution

The fourth proportional to 78,064.56, 117,103.32 and 25,472.88 is: 38,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,064.56 : 117,103.32 = 25,472.88 : x
  2. Step 2: Convert to fraction form
    78,064.56/117,103.32 = 25,472.88/x
  3. Step 3: Cross multiply
    78,064.56x = 117,103.32 × 25,472.88
  4. Step 4: Simplify right side
    78,064.56x = 2,982,958,817.96
  5. Step 5: Solve for x
    x = 2,982,958,817.96/78,064.56
  6. Step 6: Final answer
    x = 38,211.43

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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.