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Finding the Fourth Proportional to 175,086.30, 262,629.45 and 86,512.80

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Solution

The fourth proportional to 175,086.30, 262,629.45 and 86,512.80 is: 129,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086.30 : 262,629.45 = 86,512.80 : x
  2. Step 2: Convert to fraction form
    175,086.30/262,629.45 = 86,512.80/x
  3. Step 3: Cross multiply
    175,086.30x = 262,629.45 × 86,512.80
  4. Step 4: Simplify right side
    175,086.30x = 22,720,809,081.96
  5. Step 5: Solve for x
    x = 22,720,809,081.96/175,086.30
  6. Step 6: Final answer
    x = 129,769.20

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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.