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Finding the Fourth Proportional to 77,909.52, 107,515.61 and 49,241.88

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Solution

The fourth proportional to 77,909.52, 107,515.61 and 49,241.88 is: 67,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,909.52 : 107,515.61 = 49,241.88 : x
  2. Step 2: Convert to fraction form
    77,909.52/107,515.61 = 49,241.88/x
  3. Step 3: Cross multiply
    77,909.52x = 107,515.61 × 49,241.88
  4. Step 4: Simplify right side
    77,909.52x = 5,294,270,519.54
  5. Step 5: Solve for x
    x = 5,294,270,519.54/77,909.52
  6. Step 6: Final answer
    x = 67,954.09

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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.