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Finding the Fourth Proportional to 165,374.30, 248,061.45 and 86,512.70

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Solution

The fourth proportional to 165,374.30, 248,061.45 and 86,512.70 is: 129,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,374.30 : 248,061.45 = 86,512.70 : x
  2. Step 2: Convert to fraction form
    165,374.30/248,061.45 = 86,512.70/x
  3. Step 3: Cross multiply
    165,374.30x = 248,061.45 × 86,512.70
  4. Step 4: Simplify right side
    165,374.30x = 21,460,465,805.42
  5. Step 5: Solve for x
    x = 21,460,465,805.42/165,374.30
  6. Step 6: Final answer
    x = 129,769.05

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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.