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Finding the Fourth Proportional to 165,309.80, 247,964.70 and 86,448.20

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Solution

The fourth proportional to 165,309.80, 247,964.70 and 86,448.20 is: 129,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,309.80 : 247,964.70 = 86,448.20 : x
  2. Step 2: Convert to fraction form
    165,309.80/247,964.70 = 86,448.20/x
  3. Step 3: Cross multiply
    165,309.80x = 247,964.70 × 86,448.20
  4. Step 4: Simplify right side
    165,309.80x = 21,436,101,978.54
  5. Step 5: Solve for x
    x = 21,436,101,978.54/165,309.80
  6. Step 6: Final answer
    x = 129,672.30

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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.