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Finding the Fourth Proportional to 225,343.81, 310,974.53 and 123,375.74

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Solution

The fourth proportional to 225,343.81, 310,974.53 and 123,375.74 is: 170,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,343.81 : 310,974.53 = 123,375.74 : x
  2. Step 2: Convert to fraction form
    225,343.81/310,974.53 = 123,375.74/x
  3. Step 3: Cross multiply
    225,343.81x = 310,974.53 × 123,375.74
  4. Step 4: Simplify right side
    225,343.81x = 38,366,714,169.80
  5. Step 5: Solve for x
    x = 38,366,714,169.80/225,343.81
  6. Step 6: Final answer
    x = 170,258.57

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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.