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Finding the Fourth Proportional to 74,120.92, 102,286.89 and 40,129.40

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Solution

The fourth proportional to 74,120.92, 102,286.89 and 40,129.40 is: 55,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,120.92 : 102,286.89 = 40,129.40 : x
  2. Step 2: Convert to fraction form
    74,120.92/102,286.89 = 40,129.40/x
  3. Step 3: Cross multiply
    74,120.92x = 102,286.89 × 40,129.40
  4. Step 4: Simplify right side
    74,120.92x = 4,104,711,523.57
  5. Step 5: Solve for x
    x = 4,104,711,523.57/74,120.92
  6. Step 6: Final answer
    x = 55,378.58

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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.