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Finding the Fourth Proportional to 252,162.81, 378,115.56 and 83,623.02

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Solution

The fourth proportional to 252,162.81, 378,115.56 and 83,623.02 is: 125,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,162.81 : 378,115.56 = 83,623.02 : x
  2. Step 2: Convert to fraction form
    252,162.81/378,115.56 = 83,623.02/x
  3. Step 3: Cross multiply
    252,162.81x = 378,115.56 × 83,623.02
  4. Step 4: Simplify right side
    252,162.81x = 31,619,164,860.65
  5. Step 5: Solve for x
    x = 31,619,164,860.65/252,162.81
  6. Step 6: Final answer
    x = 125,391.87

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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.