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Finding the Fourth Proportional to 75,987.30, 114,013.75 and 40,919.97

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Solution

The fourth proportional to 75,987.30, 114,013.75 and 40,919.97 is: 61,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,987.30 : 114,013.75 = 40,919.97 : x
  2. Step 2: Convert to fraction form
    75,987.30/114,013.75 = 40,919.97/x
  3. Step 3: Cross multiply
    75,987.30x = 114,013.75 × 40,919.97
  4. Step 4: Simplify right side
    75,987.30x = 4,665,439,229.59
  5. Step 5: Solve for x
    x = 4,665,439,229.59/75,987.30
  6. Step 6: Final answer
    x = 61,397.62

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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.