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Finding the Fourth Proportional to 81,104.32, 121,656.48 and 25,696

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Solution

The fourth proportional to 81,104.32, 121,656.48 and 25,696 is: 38,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,104.32 : 121,656.48 = 25,696 : x
  2. Step 2: Convert to fraction form
    81,104.32/121,656.48 = 25,696/x
  3. Step 3: Cross multiply
    81,104.32x = 121,656.48 × 25,696
  4. Step 4: Simplify right side
    81,104.32x = 3,126,084,910.08
  5. Step 5: Solve for x
    x = 3,126,084,910.08/81,104.32
  6. Step 6: Final answer
    x = 38,544.00

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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.