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Finding the Fourth Proportional to 137,832.30, 206,639.10 and 75,502.80

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Solution

The fourth proportional to 137,832.30, 206,639.10 and 75,502.80 is: 113,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,832.30 : 206,639.10 = 75,502.80 : x
  2. Step 2: Convert to fraction form
    137,832.30/206,639.10 = 75,502.80/x
  3. Step 3: Cross multiply
    137,832.30x = 206,639.10 × 75,502.80
  4. Step 4: Simplify right side
    137,832.30x = 15,601,830,639.48
  5. Step 5: Solve for x
    x = 15,601,830,639.48/137,832.30
  6. Step 6: Final answer
    x = 113,194.30

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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.