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Finding the Fourth Proportional to 252,147.84, 377,910.72 and 139,732.80

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Solution

The fourth proportional to 252,147.84, 377,910.72 and 139,732.80 is: 209,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,147.84 : 377,910.72 = 139,732.80 : x
  2. Step 2: Convert to fraction form
    252,147.84/377,910.72 = 139,732.80/x
  3. Step 3: Cross multiply
    252,147.84x = 377,910.72 × 139,732.80
  4. Step 4: Simplify right side
    252,147.84x = 52,806,523,055.62
  5. Step 5: Solve for x
    x = 52,806,523,055.62/252,147.84
  6. Step 6: Final answer
    x = 209,426.83

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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.