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Finding the Fourth Proportional to 225,752.95, 311,542.07 and 123,778.18

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Solution

The fourth proportional to 225,752.95, 311,542.07 and 123,778.18 is: 170,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,752.95 : 311,542.07 = 123,778.18 : x
  2. Step 2: Convert to fraction form
    225,752.95/311,542.07 = 123,778.18/x
  3. Step 3: Cross multiply
    225,752.95x = 311,542.07 × 123,778.18
  4. Step 4: Simplify right side
    225,752.95x = 38,562,110,418.03
  5. Step 5: Solve for x
    x = 38,562,110,418.03/225,752.95
  6. Step 6: Final answer
    x = 170,815.53

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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.