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Finding the Fourth Proportional to 138,506.27, 207,767.10 and 43,738.70

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Solution

The fourth proportional to 138,506.27, 207,767.10 and 43,738.70 is: 65,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.27 : 207,767.10 = 43,738.70 : x
  2. Step 2: Convert to fraction form
    138,506.27/207,767.10 = 43,738.70/x
  3. Step 3: Cross multiply
    138,506.27x = 207,767.10 × 43,738.70
  4. Step 4: Simplify right side
    138,506.27x = 9,087,462,638.08
  5. Step 5: Solve for x
    x = 9,087,462,638.08/138,506.27
  6. Step 6: Final answer
    x = 65,610.48

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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.