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Finding the Fourth Proportional to 87,785, 121,143.54 and 48,041

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Solution

The fourth proportional to 87,785, 121,143.54 and 48,041 is: 66,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,785 : 121,143.54 = 48,041 : x
  2. Step 2: Convert to fraction form
    87,785/121,143.54 = 48,041/x
  3. Step 3: Cross multiply
    87,785x = 121,143.54 × 48,041
  4. Step 4: Simplify right side
    87,785x = 5,819,856,805.14
  5. Step 5: Solve for x
    x = 5,819,856,805.14/87,785
  6. Step 6: Final answer
    x = 66,296.71

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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.