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Finding the Fourth Proportional to 77,882.66, 117,067.86 and 51,398.85

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Solution

The fourth proportional to 77,882.66, 117,067.86 and 51,398.85 is: 77,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.66 : 117,067.86 = 51,398.85 : x
  2. Step 2: Convert to fraction form
    77,882.66/117,067.86 = 51,398.85/x
  3. Step 3: Cross multiply
    77,882.66x = 117,067.86 × 51,398.85
  4. Step 4: Simplify right side
    77,882.66x = 6,017,152,682.65
  5. Step 5: Solve for x
    x = 6,017,152,682.65/77,882.66
  6. Step 6: Final answer
    x = 77,259.20

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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.