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Finding the Fourth Proportional to 126,969.78, 175,168.44 and 81,640.56

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Solution

The fourth proportional to 126,969.78, 175,168.44 and 81,640.56 is: 112,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,969.78 : 175,168.44 = 81,640.56 : x
  2. Step 2: Convert to fraction form
    126,969.78/175,168.44 = 81,640.56/x
  3. Step 3: Cross multiply
    126,969.78x = 175,168.44 × 81,640.56
  4. Step 4: Simplify right side
    126,969.78x = 14,300,849,535.93
  5. Step 5: Solve for x
    x = 14,300,849,535.93/126,969.78
  6. Step 6: Final answer
    x = 112,631.92

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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.