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Finding the Fourth Proportional to 74,405.66, 102,680.69 and 40,414.55

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Solution

The fourth proportional to 74,405.66, 102,680.69 and 40,414.55 is: 55,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,405.66 : 102,680.69 = 40,414.55 : x
  2. Step 2: Convert to fraction form
    74,405.66/102,680.69 = 40,414.55/x
  3. Step 3: Cross multiply
    74,405.66x = 102,680.69 × 40,414.55
  4. Step 4: Simplify right side
    74,405.66x = 4,149,793,164.56
  5. Step 5: Solve for x
    x = 4,149,793,164.56/74,405.66
  6. Step 6: Final answer
    x = 55,772.55

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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.