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Finding the Fourth Proportional to 50,478.05, 69,658.77 and 27,819.14

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Solution

The fourth proportional to 50,478.05, 69,658.77 and 27,819.14 is: 38,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.05 : 69,658.77 = 27,819.14 : x
  2. Step 2: Convert to fraction form
    50,478.05/69,658.77 = 27,819.14/x
  3. Step 3: Cross multiply
    50,478.05x = 69,658.77 × 27,819.14
  4. Step 4: Simplify right side
    50,478.05x = 1,937,846,726.56
  5. Step 5: Solve for x
    x = 1,937,846,726.56/50,478.05
  6. Step 6: Final answer
    x = 38,389.89

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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.