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Finding the Fourth Proportional to 85,301.46, 127,884.76 and 42,584.97

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Solution

The fourth proportional to 85,301.46, 127,884.76 and 42,584.97 is: 63,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301.46 : 127,884.76 = 42,584.97 : x
  2. Step 2: Convert to fraction form
    85,301.46/127,884.76 = 42,584.97/x
  3. Step 3: Cross multiply
    85,301.46x = 127,884.76 × 42,584.97
  4. Step 4: Simplify right side
    85,301.46x = 5,445,969,041.16
  5. Step 5: Solve for x
    x = 5,445,969,041.16/85,301.46
  6. Step 6: Final answer
    x = 63,843.79

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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.