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Finding the Fourth Proportional to 252,668.57, 348,642.90 and 145,217.85

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Solution

The fourth proportional to 252,668.57, 348,642.90 and 145,217.85 is: 200,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,668.57 : 348,642.90 = 145,217.85 : x
  2. Step 2: Convert to fraction form
    252,668.57/348,642.90 = 145,217.85/x
  3. Step 3: Cross multiply
    252,668.57x = 348,642.90 × 145,217.85
  4. Step 4: Simplify right side
    252,668.57x = 50,629,172,355.77
  5. Step 5: Solve for x
    x = 50,629,172,355.77/252,668.57
  6. Step 6: Final answer
    x = 200,377.80

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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.