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Finding the Fourth Proportional to 100,472.80, 138,562.32 and 75,040.76

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Solution

The fourth proportional to 100,472.80, 138,562.32 and 75,040.76 is: 103,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472.80 : 138,562.32 = 75,040.76 : x
  2. Step 2: Convert to fraction form
    100,472.80/138,562.32 = 75,040.76/x
  3. Step 3: Cross multiply
    100,472.80x = 138,562.32 × 75,040.76
  4. Step 4: Simplify right side
    100,472.80x = 10,397,821,800.16
  5. Step 5: Solve for x
    x = 10,397,821,800.16/100,472.80
  6. Step 6: Final answer
    x = 103,488.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.