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Finding the Fourth Proportional to 77,876, 107,468.88 and 42,548

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Solution

The fourth proportional to 77,876, 107,468.88 and 42,548 is: 58,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876 : 107,468.88 = 42,548 : x
  2. Step 2: Convert to fraction form
    77,876/107,468.88 = 42,548/x
  3. Step 3: Cross multiply
    77,876x = 107,468.88 × 42,548
  4. Step 4: Simplify right side
    77,876x = 4,572,585,906.24
  5. Step 5: Solve for x
    x = 4,572,585,906.24/77,876
  6. Step 6: Final answer
    x = 58,716.24

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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.