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Finding the Fourth Proportional to 123,422.61, 170,319.75 and 73,121.61

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Solution

The fourth proportional to 123,422.61, 170,319.75 and 73,121.61 is: 100,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,422.61 : 170,319.75 = 73,121.61 : x
  2. Step 2: Convert to fraction form
    123,422.61/170,319.75 = 73,121.61/x
  3. Step 3: Cross multiply
    123,422.61x = 170,319.75 × 73,121.61
  4. Step 4: Simplify right side
    123,422.61x = 12,454,054,334.80
  5. Step 5: Solve for x
    x = 12,454,054,334.80/123,422.61
  6. Step 6: Final answer
    x = 100,905.78

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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.