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Finding the Fourth Proportional to 82,017.20, 122,960.10 and 75,456.20

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Solution

The fourth proportional to 82,017.20, 122,960.10 and 75,456.20 is: 113,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.20 : 122,960.10 = 75,456.20 : x
  2. Step 2: Convert to fraction form
    82,017.20/122,960.10 = 75,456.20/x
  3. Step 3: Cross multiply
    82,017.20x = 122,960.10 × 75,456.20
  4. Step 4: Simplify right side
    82,017.20x = 9,278,101,897.62
  5. Step 5: Solve for x
    x = 9,278,101,897.62/82,017.20
  6. Step 6: Final answer
    x = 113,123.86

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1.5x scale

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.