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Finding the Fourth Proportional to 138,576.85, 207,345.25 and 82,210.57

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Solution

The fourth proportional to 138,576.85, 207,345.25 and 82,210.57 is: 123,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576.85 : 207,345.25 = 82,210.57 : x
  2. Step 2: Convert to fraction form
    138,576.85/207,345.25 = 82,210.57/x
  3. Step 3: Cross multiply
    138,576.85x = 207,345.25 × 82,210.57
  4. Step 4: Simplify right side
    138,576.85x = 17,045,971,189.29
  5. Step 5: Solve for x
    x = 17,045,971,189.29/138,576.85
  6. Step 6: Final answer
    x = 123,007.35

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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.