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Finding the Fourth Proportional to 100,188.12, 138,253.68 and 54,865.92

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Solution

The fourth proportional to 100,188.12, 138,253.68 and 54,865.92 is: 75,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,188.12 : 138,253.68 = 54,865.92 : x
  2. Step 2: Convert to fraction form
    100,188.12/138,253.68 = 54,865.92/x
  3. Step 3: Cross multiply
    100,188.12x = 138,253.68 × 54,865.92
  4. Step 4: Simplify right side
    100,188.12x = 7,585,415,346.59
  5. Step 5: Solve for x
    x = 7,585,415,346.59/100,188.12
  6. Step 6: Final answer
    x = 75,711.72

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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.