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Finding the Fourth Proportional to 252,351.92, 378,200.88 and 102,510.47

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Solution

The fourth proportional to 252,351.92, 378,200.88 and 102,510.47 is: 153,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,351.92 : 378,200.88 = 102,510.47 : x
  2. Step 2: Convert to fraction form
    252,351.92/378,200.88 = 102,510.47/x
  3. Step 3: Cross multiply
    252,351.92x = 378,200.88 × 102,510.47
  4. Step 4: Simplify right side
    252,351.92x = 38,769,548,072.21
  5. Step 5: Solve for x
    x = 38,769,548,072.21/252,351.92
  6. Step 6: Final answer
    x = 153,632.87

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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.