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Finding the Fourth Proportional to 154,343.80, 231,386.10 and 80,471.80

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Solution

The fourth proportional to 154,343.80, 231,386.10 and 80,471.80 is: 120,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,343.80 : 231,386.10 = 80,471.80 : x
  2. Step 2: Convert to fraction form
    154,343.80/231,386.10 = 80,471.80/x
  3. Step 3: Cross multiply
    154,343.80x = 231,386.10 × 80,471.80
  4. Step 4: Simplify right side
    154,343.80x = 18,620,055,961.98
  5. Step 5: Solve for x
    x = 18,620,055,961.98/154,343.80
  6. Step 6: Final answer
    x = 120,640.13

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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.