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Finding the Fourth Proportional to 81,396.48, 121,713.84 and 57,951.84

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Solution

The fourth proportional to 81,396.48, 121,713.84 and 57,951.84 is: 86,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396.48 : 121,713.84 = 57,951.84 : x
  2. Step 2: Convert to fraction form
    81,396.48/121,713.84 = 57,951.84/x
  3. Step 3: Cross multiply
    81,396.48x = 121,713.84 × 57,951.84
  4. Step 4: Simplify right side
    81,396.48x = 7,053,540,981.47
  5. Step 5: Solve for x
    x = 7,053,540,981.47/81,396.48
  6. Step 6: Final answer
    x = 86,656.58

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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.