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Finding the Fourth Proportional to 87,072, 120,161.28 and 47,328

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Solution

The fourth proportional to 87,072, 120,161.28 and 47,328 is: 65,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,072 : 120,161.28 = 47,328 : x
  2. Step 2: Convert to fraction form
    87,072/120,161.28 = 47,328/x
  3. Step 3: Cross multiply
    87,072x = 120,161.28 × 47,328
  4. Step 4: Simplify right side
    87,072x = 5,686,993,059.84
  5. Step 5: Solve for x
    x = 5,686,993,059.84/87,072
  6. Step 6: Final answer
    x = 65,313.68

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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.