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Finding the Fourth Proportional to 100,191.74, 138,264.77 and 54,251.88

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Solution

The fourth proportional to 100,191.74, 138,264.77 and 54,251.88 is: 74,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,191.74 : 138,264.77 = 54,251.88 : x
  2. Step 2: Convert to fraction form
    100,191.74/138,264.77 = 54,251.88/x
  3. Step 3: Cross multiply
    100,191.74x = 138,264.77 × 54,251.88
  4. Step 4: Simplify right side
    100,191.74x = 7,501,123,327.40
  5. Step 5: Solve for x
    x = 7,501,123,327.40/100,191.74
  6. Step 6: Final answer
    x = 74,867.69

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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.