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Finding the Fourth Proportional to 138,672.46, 208,039.85 and 43,908.31

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Solution

The fourth proportional to 138,672.46, 208,039.85 and 43,908.31 is: 65,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672.46 : 208,039.85 = 43,908.31 : x
  2. Step 2: Convert to fraction form
    138,672.46/208,039.85 = 43,908.31/x
  3. Step 3: Cross multiply
    138,672.46x = 208,039.85 × 43,908.31
  4. Step 4: Simplify right side
    138,672.46x = 9,134,676,966.41
  5. Step 5: Solve for x
    x = 9,134,676,966.41/138,672.46
  6. Step 6: Final answer
    x = 65,872.32

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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.