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Finding the Fourth Proportional to 77,067.84, 106,405.98 and 49,909.56

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Solution

The fourth proportional to 77,067.84, 106,405.98 and 49,909.56 is: 68,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,067.84 : 106,405.98 = 49,909.56 : x
  2. Step 2: Convert to fraction form
    77,067.84/106,405.98 = 49,909.56/x
  3. Step 3: Cross multiply
    77,067.84x = 106,405.98 × 49,909.56
  4. Step 4: Simplify right side
    77,067.84x = 5,310,675,643.17
  5. Step 5: Solve for x
    x = 5,310,675,643.17/77,067.84
  6. Step 6: Final answer
    x = 68,909.10

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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.