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Finding the Fourth Proportional to 117,825.20, 176,305.80 and 86,721.20

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Solution

The fourth proportional to 117,825.20, 176,305.80 and 86,721.20 is: 129,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,825.20 : 176,305.80 = 86,721.20 : x
  2. Step 2: Convert to fraction form
    117,825.20/176,305.80 = 86,721.20/x
  3. Step 3: Cross multiply
    117,825.20x = 176,305.80 × 86,721.20
  4. Step 4: Simplify right side
    117,825.20x = 15,289,450,542.96
  5. Step 5: Solve for x
    x = 15,289,450,542.96/117,825.20
  6. Step 6: Final answer
    x = 129,763.84

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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.