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Finding the Fourth Proportional to 75,169.78, 103,752.93 and 43,357.78

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Solution

The fourth proportional to 75,169.78, 103,752.93 and 43,357.78 is: 59,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.78 : 103,752.93 = 43,357.78 : x
  2. Step 2: Convert to fraction form
    75,169.78/103,752.93 = 43,357.78/x
  3. Step 3: Cross multiply
    75,169.78x = 103,752.93 × 43,357.78
  4. Step 4: Simplify right side
    75,169.78x = 4,498,496,713.30
  5. Step 5: Solve for x
    x = 4,498,496,713.30/75,169.78
  6. Step 6: Final answer
    x = 59,844.48

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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.