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Finding the Fourth Proportional to 81,146, 121,738.44 and 25,742

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Solution

The fourth proportional to 81,146, 121,738.44 and 25,742 is: 38,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146 : 121,738.44 = 25,742 : x
  2. Step 2: Convert to fraction form
    81,146/121,738.44 = 25,742/x
  3. Step 3: Cross multiply
    81,146x = 121,738.44 × 25,742
  4. Step 4: Simplify right side
    81,146x = 3,133,790,922.48
  5. Step 5: Solve for x
    x = 3,133,790,922.48/81,146
  6. Step 6: Final answer
    x = 38,619.17

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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.