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Finding the Fourth Proportional to 71,651.78, 98,871.60 and 41,432.54

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Solution

The fourth proportional to 71,651.78, 98,871.60 and 41,432.54 is: 57,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,651.78 : 98,871.60 = 41,432.54 : x
  2. Step 2: Convert to fraction form
    71,651.78/98,871.60 = 41,432.54/x
  3. Step 3: Cross multiply
    71,651.78x = 98,871.60 × 41,432.54
  4. Step 4: Simplify right side
    71,651.78x = 4,096,501,521.86
  5. Step 5: Solve for x
    x = 4,096,501,521.86/71,651.78
  6. Step 6: Final answer
    x = 57,172.36

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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.