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Finding the Fourth Proportional to 137,449.54, 206,253.60 and 74,269.84

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Solution

The fourth proportional to 137,449.54, 206,253.60 and 74,269.84 is: 111,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,449.54 : 206,253.60 = 74,269.84 : x
  2. Step 2: Convert to fraction form
    137,449.54/206,253.60 = 74,269.84/x
  3. Step 3: Cross multiply
    137,449.54x = 206,253.60 × 74,269.84
  4. Step 4: Simplify right side
    137,449.54x = 15,318,421,871.42
  5. Step 5: Solve for x
    x = 15,318,421,871.42/137,449.54
  6. Step 6: Final answer
    x = 111,447.60

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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.