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Finding the Fourth Proportional to 75,138.77, 103,691.53 and 41,149.37

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Solution

The fourth proportional to 75,138.77, 103,691.53 and 41,149.37 is: 56,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.77 : 103,691.53 = 41,149.37 : x
  2. Step 2: Convert to fraction form
    75,138.77/103,691.53 = 41,149.37/x
  3. Step 3: Cross multiply
    75,138.77x = 103,691.53 × 41,149.37
  4. Step 4: Simplify right side
    75,138.77x = 4,266,841,133.84
  5. Step 5: Solve for x
    x = 4,266,841,133.84/75,138.77
  6. Step 6: Final answer
    x = 56,786.15

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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.