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Finding the Fourth Proportional to 80,412.78, 110,967.93 and 49,777.71

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Solution

The fourth proportional to 80,412.78, 110,967.93 and 49,777.71 is: 68,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.78 : 110,967.93 = 49,777.71 : x
  2. Step 2: Convert to fraction form
    80,412.78/110,967.93 = 49,777.71/x
  3. Step 3: Cross multiply
    80,412.78x = 110,967.93 × 49,777.71
  4. Step 4: Simplify right side
    80,412.78x = 5,523,729,438.84
  5. Step 5: Solve for x
    x = 5,523,729,438.84/80,412.78
  6. Step 6: Final answer
    x = 68,692.18

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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.