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Finding the Fourth Proportional to 81,146.50, 111,959.92 and 55,659.17

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Solution

The fourth proportional to 81,146.50, 111,959.92 and 55,659.17 is: 76,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146.50 : 111,959.92 = 55,659.17 : x
  2. Step 2: Convert to fraction form
    81,146.50/111,959.92 = 55,659.17/x
  3. Step 3: Cross multiply
    81,146.50x = 111,959.92 × 55,659.17
  4. Step 4: Simplify right side
    81,146.50x = 6,231,596,220.47
  5. Step 5: Solve for x
    x = 6,231,596,220.47/81,146.50
  6. Step 6: Final answer
    x = 76,794.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.