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Finding the Fourth Proportional to 127,708, 176,065.26 and 89,416.04

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Solution

The fourth proportional to 127,708, 176,065.26 and 89,416.04 is: 123,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,708 : 176,065.26 = 89,416.04 : x
  2. Step 2: Convert to fraction form
    127,708/176,065.26 = 89,416.04/x
  3. Step 3: Cross multiply
    127,708x = 176,065.26 × 89,416.04
  4. Step 4: Simplify right side
    127,708x = 15,743,058,330.77
  5. Step 5: Solve for x
    x = 15,743,058,330.77/127,708
  6. Step 6: Final answer
    x = 123,273.86

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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.