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Finding the Fourth Proportional to 78,472.76, 117,760.96 and 36,923

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Solution

The fourth proportional to 78,472.76, 117,760.96 and 36,923 is: 55,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472.76 : 117,760.96 = 36,923 : x
  2. Step 2: Convert to fraction form
    78,472.76/117,760.96 = 36,923/x
  3. Step 3: Cross multiply
    78,472.76x = 117,760.96 × 36,923
  4. Step 4: Simplify right side
    78,472.76x = 4,348,087,926.08
  5. Step 5: Solve for x
    x = 4,348,087,926.08/78,472.76
  6. Step 6: Final answer
    x = 55,408.88

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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.