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Finding the Fourth Proportional to 84,147.39, 126,100.80 and 61,785.32

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Solution

The fourth proportional to 84,147.39, 126,100.80 and 61,785.32 is: 92,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,147.39 : 126,100.80 = 61,785.32 : x
  2. Step 2: Convert to fraction form
    84,147.39/126,100.80 = 61,785.32/x
  3. Step 3: Cross multiply
    84,147.39x = 126,100.80 × 61,785.32
  4. Step 4: Simplify right side
    84,147.39x = 7,791,177,649.75
  5. Step 5: Solve for x
    x = 7,791,177,649.75/84,147.39
  6. Step 6: Final answer
    x = 92,589.65

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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.