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Finding the Fourth Proportional to 137,911.32, 206,674.11 and 74,594.70

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Solution

The fourth proportional to 137,911.32, 206,674.11 and 74,594.70 is: 111,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,911.32 : 206,674.11 = 74,594.70 : x
  2. Step 2: Convert to fraction form
    137,911.32/206,674.11 = 74,594.70/x
  3. Step 3: Cross multiply
    137,911.32x = 206,674.11 × 74,594.70
  4. Step 4: Simplify right side
    137,911.32x = 15,416,793,233.22
  5. Step 5: Solve for x
    x = 15,416,793,233.22/137,911.32
  6. Step 6: Final answer
    x = 111,787.73

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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.