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Finding the Fourth Proportional to 171,872.10, 257,079.15 and 154,230.30

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Solution

The fourth proportional to 171,872.10, 257,079.15 and 154,230.30 is: 230,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,872.10 : 257,079.15 = 154,230.30 : x
  2. Step 2: Convert to fraction form
    171,872.10/257,079.15 = 154,230.30/x
  3. Step 3: Cross multiply
    171,872.10x = 257,079.15 × 154,230.30
  4. Step 4: Simplify right side
    171,872.10x = 39,649,394,428.25
  5. Step 5: Solve for x
    x = 39,649,394,428.25/171,872.10
  6. Step 6: Final answer
    x = 230,691.28

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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.