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Finding the Fourth Proportional to 225,165.25, 310,729.26 and 123,191.92

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Solution

The fourth proportional to 225,165.25, 310,729.26 and 123,191.92 is: 170,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,165.25 : 310,729.26 = 123,191.92 : x
  2. Step 2: Convert to fraction form
    225,165.25/310,729.26 = 123,191.92/x
  3. Step 3: Cross multiply
    225,165.25x = 310,729.26 × 123,191.92
  4. Step 4: Simplify right side
    225,165.25x = 38,279,334,139.58
  5. Step 5: Solve for x
    x = 38,279,334,139.58/225,165.25
  6. Step 6: Final answer
    x = 170,005.51

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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.