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Finding the Fourth Proportional to 259,712.20, 389,641.20 and 126,596.80

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Solution

The fourth proportional to 259,712.20, 389,641.20 and 126,596.80 is: 189,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.20 : 389,641.20 = 126,596.80 : x
  2. Step 2: Convert to fraction form
    259,712.20/389,641.20 = 126,596.80/x
  3. Step 3: Cross multiply
    259,712.20x = 389,641.20 × 126,596.80
  4. Step 4: Simplify right side
    259,712.20x = 49,327,329,068.16
  5. Step 5: Solve for x
    x = 49,327,329,068.16/259,712.20
  6. Step 6: Final answer
    x = 189,930.74

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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.