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Finding the Fourth Proportional to 208,251.42, 312,377.13 and 50,479.89

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Solution

The fourth proportional to 208,251.42, 312,377.13 and 50,479.89 is: 75,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.42 : 312,377.13 = 50,479.89 : x
  2. Step 2: Convert to fraction form
    208,251.42/312,377.13 = 50,479.89/x
  3. Step 3: Cross multiply
    208,251.42x = 312,377.13 × 50,479.89
  4. Step 4: Simplify right side
    208,251.42x = 15,768,763,160.92
  5. Step 5: Solve for x
    x = 15,768,763,160.92/208,251.42
  6. Step 6: Final answer
    x = 75,719.84

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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.