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Finding the Fourth Proportional to 256,080.60, 383,631.30 and 137,712.60

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Solution

The fourth proportional to 256,080.60, 383,631.30 and 137,712.60 is: 206,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,080.60 : 383,631.30 = 137,712.60 : x
  2. Step 2: Convert to fraction form
    256,080.60/383,631.30 = 137,712.60/x
  3. Step 3: Cross multiply
    256,080.60x = 383,631.30 × 137,712.60
  4. Step 4: Simplify right side
    256,080.60x = 52,830,863,764.38
  5. Step 5: Solve for x
    x = 52,830,863,764.38/256,080.60
  6. Step 6: Final answer
    x = 206,305.61

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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.