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Finding the Fourth Proportional to 137,630.20, 206,574.90 and 85,142.20

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Solution

The fourth proportional to 137,630.20, 206,574.90 and 85,142.20 is: 127,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,630.20 : 206,574.90 = 85,142.20 : x
  2. Step 2: Convert to fraction form
    137,630.20/206,574.90 = 85,142.20/x
  3. Step 3: Cross multiply
    137,630.20x = 206,574.90 × 85,142.20
  4. Step 4: Simplify right side
    137,630.20x = 17,588,241,450.78
  5. Step 5: Solve for x
    x = 17,588,241,450.78/137,630.20
  6. Step 6: Final answer
    x = 127,793.47

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1.5x scale

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.