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Finding the Fourth Proportional to 165,200.72, 247,891.92 and 86,384.48

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Solution

The fourth proportional to 165,200.72, 247,891.92 and 86,384.48 is: 129,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200.72 : 247,891.92 = 86,384.48 : x
  2. Step 2: Convert to fraction form
    165,200.72/247,891.92 = 86,384.48/x
  3. Step 3: Cross multiply
    165,200.72x = 247,891.92 × 86,384.48
  4. Step 4: Simplify right side
    165,200.72x = 21,414,014,605.40
  5. Step 5: Solve for x
    x = 21,414,014,605.40/165,200.72
  6. Step 6: Final answer
    x = 129,624.22

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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.