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Finding the Fourth Proportional to 252,535.40, 378,761.76 and 102,769.64

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Solution

The fourth proportional to 252,535.40, 378,761.76 and 102,769.64 is: 154,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,535.40 : 378,761.76 = 102,769.64 : x
  2. Step 2: Convert to fraction form
    252,535.40/378,761.76 = 102,769.64/x
  3. Step 3: Cross multiply
    252,535.40x = 378,761.76 × 102,769.64
  4. Step 4: Simplify right side
    252,535.40x = 38,925,209,720.97
  5. Step 5: Solve for x
    x = 38,925,209,720.97/252,535.40
  6. Step 6: Final answer
    x = 154,137.64

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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.