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Finding the Fourth Proportional to 165,353.28, 247,943.52 and 86,274.24

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Solution

The fourth proportional to 165,353.28, 247,943.52 and 86,274.24 is: 129,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,353.28 : 247,943.52 = 86,274.24 : x
  2. Step 2: Convert to fraction form
    165,353.28/247,943.52 = 86,274.24/x
  3. Step 3: Cross multiply
    165,353.28x = 247,943.52 × 86,274.24
  4. Step 4: Simplify right side
    165,353.28x = 21,391,138,750.92
  5. Step 5: Solve for x
    x = 21,391,138,750.92/165,353.28
  6. Step 6: Final answer
    x = 129,366.28

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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.