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Finding the Fourth Proportional to 87,912.70, 121,338.34 and 57,324

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Solution

The fourth proportional to 87,912.70, 121,338.34 and 57,324 is: 79,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,912.70 : 121,338.34 = 57,324 : x
  2. Step 2: Convert to fraction form
    87,912.70/121,338.34 = 57,324/x
  3. Step 3: Cross multiply
    87,912.70x = 121,338.34 × 57,324
  4. Step 4: Simplify right side
    87,912.70x = 6,955,599,002.16
  5. Step 5: Solve for x
    x = 6,955,599,002.16/87,912.70
  6. Step 6: Final answer
    x = 79,119.39

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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.