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Finding the Fourth Proportional to 232,792, 321,237.76 and 137,276.80

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Solution

The fourth proportional to 232,792, 321,237.76 and 137,276.80 is: 189,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,792 : 321,237.76 = 137,276.80 : x
  2. Step 2: Convert to fraction form
    232,792/321,237.76 = 137,276.80/x
  3. Step 3: Cross multiply
    232,792x = 321,237.76 × 137,276.80
  4. Step 4: Simplify right side
    232,792x = 44,098,491,731.97
  5. Step 5: Solve for x
    x = 44,098,491,731.97/232,792
  6. Step 6: Final answer
    x = 189,433.02

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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.