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Finding the Fourth Proportional to 78,561.44, 108,414.60 and 42,751.29

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Solution

The fourth proportional to 78,561.44, 108,414.60 and 42,751.29 is: 58,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,561.44 : 108,414.60 = 42,751.29 : x
  2. Step 2: Convert to fraction form
    78,561.44/108,414.60 = 42,751.29/x
  3. Step 3: Cross multiply
    78,561.44x = 108,414.60 × 42,751.29
  4. Step 4: Simplify right side
    78,561.44x = 4,634,864,491.55
  5. Step 5: Solve for x
    x = 4,634,864,491.55/78,561.44
  6. Step 6: Final answer
    x = 58,996.68

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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.