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Finding the Fourth Proportional to 87.83, 130.96 and 82.06

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Solution

The fourth proportional to 87.83, 130.96 and 82.06 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.83 : 130.96 = 82.06 : x
  2. Step 2: Convert to fraction form
    87.83/130.96 = 82.06/x
  3. Step 3: Cross multiply
    87.83x = 130.96 × 82.06
  4. Step 4: Simplify right side
    87.83x = 10,746.58
  5. Step 5: Solve for x
    x = 10,746.58/87.83
  6. Step 6: Final answer
    x = 122.36

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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.