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Finding the Fourth Proportional to 137,517.60, 206,276.40 and 120,896.40

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Solution

The fourth proportional to 137,517.60, 206,276.40 and 120,896.40 is: 181,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,517.60 : 206,276.40 = 120,896.40 : x
  2. Step 2: Convert to fraction form
    137,517.60/206,276.40 = 120,896.40/x
  3. Step 3: Cross multiply
    137,517.60x = 206,276.40 × 120,896.40
  4. Step 4: Simplify right side
    137,517.60x = 24,938,074,164.96
  5. Step 5: Solve for x
    x = 24,938,074,164.96/137,517.60
  6. Step 6: Final answer
    x = 181,344.60

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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.