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Finding the Fourth Proportional to 71,729.12, 98,978.28 and 41,508.56

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Solution

The fourth proportional to 71,729.12, 98,978.28 and 41,508.56 is: 57,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,729.12 : 98,978.28 = 41,508.56 : x
  2. Step 2: Convert to fraction form
    71,729.12/98,978.28 = 41,508.56/x
  3. Step 3: Cross multiply
    71,729.12x = 98,978.28 × 41,508.56
  4. Step 4: Simplify right side
    71,729.12x = 4,108,445,874.08
  5. Step 5: Solve for x
    x = 4,108,445,874.08/71,729.12
  6. Step 6: Final answer
    x = 57,277.24

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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.