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Finding the Fourth Proportional to 77,003.78, 115,560.96 and 32,642.96

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Solution

The fourth proportional to 77,003.78, 115,560.96 and 32,642.96 is: 48,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,003.78 : 115,560.96 = 32,642.96 : x
  2. Step 2: Convert to fraction form
    77,003.78/115,560.96 = 32,642.96/x
  3. Step 3: Cross multiply
    77,003.78x = 115,560.96 × 32,642.96
  4. Step 4: Simplify right side
    77,003.78x = 3,772,251,794.84
  5. Step 5: Solve for x
    x = 3,772,251,794.84/77,003.78
  6. Step 6: Final answer
    x = 48,987.88

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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.