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Finding the Fourth Proportional to 100,242.68, 138,333.24 and 54,920.24

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Solution

The fourth proportional to 100,242.68, 138,333.24 and 54,920.24 is: 75,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.68 : 138,333.24 = 54,920.24 : x
  2. Step 2: Convert to fraction form
    100,242.68/138,333.24 = 54,920.24/x
  3. Step 3: Cross multiply
    100,242.68x = 138,333.24 × 54,920.24
  4. Step 4: Simplify right side
    100,242.68x = 7,597,294,740.78
  5. Step 5: Solve for x
    x = 7,597,294,740.78/100,242.68
  6. Step 6: Final answer
    x = 75,789.02

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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.