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Finding the Fourth Proportional to 92,147.40, 137,961.90 and 82,816.20

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Solution

The fourth proportional to 92,147.40, 137,961.90 and 82,816.20 is: 123,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,147.40 : 137,961.90 = 82,816.20 : x
  2. Step 2: Convert to fraction form
    92,147.40/137,961.90 = 82,816.20/x
  3. Step 3: Cross multiply
    92,147.40x = 137,961.90 × 82,816.20
  4. Step 4: Simplify right side
    92,147.40x = 11,425,480,302.78
  5. Step 5: Solve for x
    x = 11,425,480,302.78/92,147.40
  6. Step 6: Final answer
    x = 123,991.35

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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.