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Finding the Fourth Proportional to 74,449.87, 102,741.24 and 40,458.64

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Solution

The fourth proportional to 74,449.87, 102,741.24 and 40,458.64 is: 55,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449.87 : 102,741.24 = 40,458.64 : x
  2. Step 2: Convert to fraction form
    74,449.87/102,741.24 = 40,458.64/x
  3. Step 3: Cross multiply
    74,449.87x = 102,741.24 × 40,458.64
  4. Step 4: Simplify right side
    74,449.87x = 4,156,770,842.31
  5. Step 5: Solve for x
    x = 4,156,770,842.31/74,449.87
  6. Step 6: Final answer
    x = 55,833.15

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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.