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Finding the Fourth Proportional to 92,072.88, 138,082.05 and 39,469.86

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Solution

The fourth proportional to 92,072.88, 138,082.05 and 39,469.86 is: 59,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072.88 : 138,082.05 = 39,469.86 : x
  2. Step 2: Convert to fraction form
    92,072.88/138,082.05 = 39,469.86/x
  3. Step 3: Cross multiply
    92,072.88x = 138,082.05 × 39,469.86
  4. Step 4: Simplify right side
    92,072.88x = 5,450,079,182.01
  5. Step 5: Solve for x
    x = 5,450,079,182.01/92,072.88
  6. Step 6: Final answer
    x = 59,193.10

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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.