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Finding the Fourth Proportional to 165,468.12, 248,046.60 and 86,634.12

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Solution

The fourth proportional to 165,468.12, 248,046.60 and 86,634.12 is: 129,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,468.12 : 248,046.60 = 86,634.12 : x
  2. Step 2: Convert to fraction form
    165,468.12/248,046.60 = 86,634.12/x
  3. Step 3: Cross multiply
    165,468.12x = 248,046.60 × 86,634.12
  4. Step 4: Simplify right side
    165,468.12x = 21,489,298,909.99
  5. Step 5: Solve for x
    x = 21,489,298,909.99/165,468.12
  6. Step 6: Final answer
    x = 129,869.72

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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.