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Finding the Fourth Proportional to 87.57, 130.41 and 83.22

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Solution

The fourth proportional to 87.57, 130.41 and 83.22 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 130.41 = 83.22 : x
  2. Step 2: Convert to fraction form
    87.57/130.41 = 83.22/x
  3. Step 3: Cross multiply
    87.57x = 130.41 × 83.22
  4. Step 4: Simplify right side
    87.57x = 10,852.72
  5. Step 5: Solve for x
    x = 10,852.72/87.57
  6. Step 6: Final answer
    x = 123.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.