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Finding the Fourth Proportional to 137,380.35, 206,100.12 and 42,608.64

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Solution

The fourth proportional to 137,380.35, 206,100.12 and 42,608.64 is: 63,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380.35 : 206,100.12 = 42,608.64 : x
  2. Step 2: Convert to fraction form
    137,380.35/206,100.12 = 42,608.64/x
  3. Step 3: Cross multiply
    137,380.35x = 206,100.12 × 42,608.64
  4. Step 4: Simplify right side
    137,380.35x = 8,781,645,817.04
  5. Step 5: Solve for x
    x = 8,781,645,817.04/137,380.35
  6. Step 6: Final answer
    x = 63,922.14

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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.