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Finding the Fourth Proportional to 259,142, 388,086.06 and 125,691.80

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Solution

The fourth proportional to 259,142, 388,086.06 and 125,691.80 is: 188,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,142 : 388,086.06 = 125,691.80 : x
  2. Step 2: Convert to fraction form
    259,142/388,086.06 = 125,691.80/x
  3. Step 3: Cross multiply
    259,142x = 388,086.06 × 125,691.80
  4. Step 4: Simplify right side
    259,142x = 48,779,235,436.31
  5. Step 5: Solve for x
    x = 48,779,235,436.31/259,142
  6. Step 6: Final answer
    x = 188,233.61

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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.