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Finding the Fourth Proportional to 87,112.86, 130,617.01 and 30,168

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Solution

The fourth proportional to 87,112.86, 130,617.01 and 30,168 is: 45,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,112.86 : 130,617.01 = 30,168 : x
  2. Step 2: Convert to fraction form
    87,112.86/130,617.01 = 30,168/x
  3. Step 3: Cross multiply
    87,112.86x = 130,617.01 × 30,168
  4. Step 4: Simplify right side
    87,112.86x = 3,940,453,825.70
  5. Step 5: Solve for x
    x = 3,940,453,825.70/87,112.86
  6. Step 6: Final answer
    x = 45,233.90

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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.