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Finding the Fourth Proportional to 137,538.81, 206,258.99 and 74,405.61

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Solution

The fourth proportional to 137,538.81, 206,258.99 and 74,405.61 is: 111,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,538.81 : 206,258.99 = 74,405.61 : x
  2. Step 2: Convert to fraction form
    137,538.81/206,258.99 = 74,405.61/x
  3. Step 3: Cross multiply
    137,538.81x = 206,258.99 × 74,405.61
  4. Step 4: Simplify right side
    137,538.81x = 15,346,825,596.91
  5. Step 5: Solve for x
    x = 15,346,825,596.91/137,538.81
  6. Step 6: Final answer
    x = 111,581.78

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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.