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Finding the Fourth Proportional to 232,578.80, 321,000.54 and 137,079.80

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Solution

The fourth proportional to 232,578.80, 321,000.54 and 137,079.80 is: 189,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,578.80 : 321,000.54 = 137,079.80 : x
  2. Step 2: Convert to fraction form
    232,578.80/321,000.54 = 137,079.80/x
  3. Step 3: Cross multiply
    232,578.80x = 321,000.54 × 137,079.80
  4. Step 4: Simplify right side
    232,578.80x = 44,002,689,823.09
  5. Step 5: Solve for x
    x = 44,002,689,823.09/232,578.80
  6. Step 6: Final answer
    x = 189,194.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.