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Finding the Fourth Proportional to 75,691.72, 104,453.22 and 42,157

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Solution

The fourth proportional to 75,691.72, 104,453.22 and 42,157 is: 58,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691.72 : 104,453.22 = 42,157 : x
  2. Step 2: Convert to fraction form
    75,691.72/104,453.22 = 42,157/x
  3. Step 3: Cross multiply
    75,691.72x = 104,453.22 × 42,157
  4. Step 4: Simplify right side
    75,691.72x = 4,403,434,395.54
  5. Step 5: Solve for x
    x = 4,403,434,395.54/75,691.72
  6. Step 6: Final answer
    x = 58,175.91

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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.