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Finding the Fourth Proportional to 86.52, 130.53 and 82.02

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Solution

The fourth proportional to 86.52, 130.53 and 82.02 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.52 : 130.53 = 82.02 : x
  2. Step 2: Convert to fraction form
    86.52/130.53 = 82.02/x
  3. Step 3: Cross multiply
    86.52x = 130.53 × 82.02
  4. Step 4: Simplify right side
    86.52x = 10,706.07
  5. Step 5: Solve for x
    x = 10,706.07/86.52
  6. Step 6: Final answer
    x = 123.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.