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Finding the Fourth Proportional to 91,930.10, 137,895.15 and 82,015.70

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Solution

The fourth proportional to 91,930.10, 137,895.15 and 82,015.70 is: 123,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,930.10 : 137,895.15 = 82,015.70 : x
  2. Step 2: Convert to fraction form
    91,930.10/137,895.15 = 82,015.70/x
  3. Step 3: Cross multiply
    91,930.10x = 137,895.15 × 82,015.70
  4. Step 4: Simplify right side
    91,930.10x = 11,309,567,253.86
  5. Step 5: Solve for x
    x = 11,309,567,253.86/91,930.10
  6. Step 6: Final answer
    x = 123,023.55

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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.