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Finding the Fourth Proportional to 252,428.90, 378,900.10 and 126,159.74

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Solution

The fourth proportional to 252,428.90, 378,900.10 and 126,159.74 is: 189,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,428.90 : 378,900.10 = 126,159.74 : x
  2. Step 2: Convert to fraction form
    252,428.90/378,900.10 = 126,159.74/x
  3. Step 3: Cross multiply
    252,428.90x = 378,900.10 × 126,159.74
  4. Step 4: Simplify right side
    252,428.90x = 47,801,936,207.47
  5. Step 5: Solve for x
    x = 47,801,936,207.47/252,428.90
  6. Step 6: Final answer
    x = 189,367.92

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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.