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Finding the Fourth Proportional to 137,608.40, 206,218.20 and 84,861.20

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Solution

The fourth proportional to 137,608.40, 206,218.20 and 84,861.20 is: 127,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.40 : 206,218.20 = 84,861.20 : x
  2. Step 2: Convert to fraction form
    137,608.40/206,218.20 = 84,861.20/x
  3. Step 3: Cross multiply
    137,608.40x = 206,218.20 × 84,861.20
  4. Step 4: Simplify right side
    137,608.40x = 17,499,923,913.84
  5. Step 5: Solve for x
    x = 17,499,923,913.84/137,608.40
  6. Step 6: Final answer
    x = 127,171.92

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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.