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Finding the Fourth Proportional to 71,181.52, 98,234.28 and 40,971.44

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Solution

The fourth proportional to 71,181.52, 98,234.28 and 40,971.44 is: 56,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,181.52 : 98,234.28 = 40,971.44 : x
  2. Step 2: Convert to fraction form
    71,181.52/98,234.28 = 40,971.44/x
  3. Step 3: Cross multiply
    71,181.52x = 98,234.28 × 40,971.44
  4. Step 4: Simplify right side
    71,181.52x = 4,024,799,908.96
  5. Step 5: Solve for x
    x = 4,024,799,908.96/71,181.52
  6. Step 6: Final answer
    x = 56,542.76

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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.