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Finding the Fourth Proportional to 65,175.78, 89,942.52 and 35,367.78

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Solution

The fourth proportional to 65,175.78, 89,942.52 and 35,367.78 is: 48,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.78 : 89,942.52 = 35,367.78 : x
  2. Step 2: Convert to fraction form
    65,175.78/89,942.52 = 35,367.78/x
  3. Step 3: Cross multiply
    65,175.78x = 89,942.52 × 35,367.78
  4. Step 4: Simplify right side
    65,175.78x = 3,181,067,260.01
  5. Step 5: Solve for x
    x = 3,181,067,260.01/65,175.78
  6. Step 6: Final answer
    x = 48,807.51

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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.