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Finding the Fourth Proportional to 252,711.87, 348,742.17 and 145,302.90

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Solution

The fourth proportional to 252,711.87, 348,742.17 and 145,302.90 is: 200,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,711.87 : 348,742.17 = 145,302.90 : x
  2. Step 2: Convert to fraction form
    252,711.87/348,742.17 = 145,302.90/x
  3. Step 3: Cross multiply
    252,711.87x = 348,742.17 × 145,302.90
  4. Step 4: Simplify right side
    252,711.87x = 50,673,248,653.29
  5. Step 5: Solve for x
    x = 50,673,248,653.29/252,711.87
  6. Step 6: Final answer
    x = 200,517.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.