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Finding the Fourth Proportional to 81,097.35, 121,649.34 and 27,825.96

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Solution

The fourth proportional to 81,097.35, 121,649.34 and 27,825.96 is: 41,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097.35 : 121,649.34 = 27,825.96 : x
  2. Step 2: Convert to fraction form
    81,097.35/121,649.34 = 27,825.96/x
  3. Step 3: Cross multiply
    81,097.35x = 121,649.34 × 27,825.96
  4. Step 4: Simplify right side
    81,097.35x = 3,385,009,668.87
  5. Step 5: Solve for x
    x = 3,385,009,668.87/81,097.35
  6. Step 6: Final answer
    x = 41,740.08

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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.