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Finding the Fourth Proportional to 252,709.84, 378,938 and 84,170.92

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Solution

The fourth proportional to 252,709.84, 378,938 and 84,170.92 is: 126,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,709.84 : 378,938 = 84,170.92 : x
  2. Step 2: Convert to fraction form
    252,709.84/378,938 = 84,170.92/x
  3. Step 3: Cross multiply
    252,709.84x = 378,938 × 84,170.92
  4. Step 4: Simplify right side
    252,709.84x = 31,895,560,082.96
  5. Step 5: Solve for x
    x = 31,895,560,082.96/252,709.84
  6. Step 6: Final answer
    x = 126,214.16

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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.