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Finding the Fourth Proportional to 123,211.74, 170,033.16 and 68,022.78

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Solution

The fourth proportional to 123,211.74, 170,033.16 and 68,022.78 is: 93,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,211.74 : 170,033.16 = 68,022.78 : x
  2. Step 2: Convert to fraction form
    123,211.74/170,033.16 = 68,022.78/x
  3. Step 3: Cross multiply
    123,211.74x = 170,033.16 × 68,022.78
  4. Step 4: Simplify right side
    123,211.74x = 11,566,128,235.38
  5. Step 5: Solve for x
    x = 11,566,128,235.38/123,211.74
  6. Step 6: Final answer
    x = 93,871.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.