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Finding the Fourth Proportional to 154,562.10, 231,843.15 and 137,940.90

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Solution

The fourth proportional to 154,562.10, 231,843.15 and 137,940.90 is: 206,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,562.10 : 231,843.15 = 137,940.90 : x
  2. Step 2: Convert to fraction form
    154,562.10/231,843.15 = 137,940.90/x
  3. Step 3: Cross multiply
    154,562.10x = 231,843.15 × 137,940.90
  4. Step 4: Simplify right side
    154,562.10x = 31,980,652,769.84
  5. Step 5: Solve for x
    x = 31,980,652,769.84/154,562.10
  6. Step 6: Final answer
    x = 206,911.35

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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.