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Finding the Fourth Proportional to 87.74, 130.73 and 83.81

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Solution

The fourth proportional to 87.74, 130.73 and 83.81 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 130.73 = 83.81 : x
  2. Step 2: Convert to fraction form
    87.74/130.73 = 83.81/x
  3. Step 3: Cross multiply
    87.74x = 130.73 × 83.81
  4. Step 4: Simplify right side
    87.74x = 10,955.92
  5. Step 5: Solve for x
    x = 10,955.92/87.74
  6. Step 6: Final answer
    x = 124.87

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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.