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Finding the Fourth Proportional to 71,471.68, 98,648.85 and 48,540.31

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Solution

The fourth proportional to 71,471.68, 98,648.85 and 48,540.31 is: 66,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.68 : 98,648.85 = 48,540.31 : x
  2. Step 2: Convert to fraction form
    71,471.68/98,648.85 = 48,540.31/x
  3. Step 3: Cross multiply
    71,471.68x = 98,648.85 × 48,540.31
  4. Step 4: Simplify right side
    71,471.68x = 4,788,445,760.14
  5. Step 5: Solve for x
    x = 4,788,445,760.14/71,471.68
  6. Step 6: Final answer
    x = 66,997.81

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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.