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Finding the Fourth Proportional to 40,693.60, 61,079.85 and 19,648.49

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Solution

The fourth proportional to 40,693.60, 61,079.85 and 19,648.49 is: 29,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,693.60 : 61,079.85 = 19,648.49 : x
  2. Step 2: Convert to fraction form
    40,693.60/61,079.85 = 19,648.49/x
  3. Step 3: Cross multiply
    40,693.60x = 61,079.85 × 19,648.49
  4. Step 4: Simplify right side
    40,693.60x = 1,200,126,516.53
  5. Step 5: Solve for x
    x = 1,200,126,516.53/40,693.60
  6. Step 6: Final answer
    x = 29,491.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.