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Finding the Fourth Proportional to 138,676.48, 208,049.28 and 55,568.32

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Solution

The fourth proportional to 138,676.48, 208,049.28 and 55,568.32 is: 83,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676.48 : 208,049.28 = 55,568.32 : x
  2. Step 2: Convert to fraction form
    138,676.48/208,049.28 = 55,568.32/x
  3. Step 3: Cross multiply
    138,676.48x = 208,049.28 × 55,568.32
  4. Step 4: Simplify right side
    138,676.48x = 11,560,948,966.81
  5. Step 5: Solve for x
    x = 11,560,948,966.81/138,676.48
  6. Step 6: Final answer
    x = 83,366.33

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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.