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Finding the Fourth Proportional to 82.76, 123.90 and 52.36

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Solution

The fourth proportional to 82.76, 123.90 and 52.36 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.76 : 123.90 = 52.36 : x
  2. Step 2: Convert to fraction form
    82.76/123.90 = 52.36/x
  3. Step 3: Cross multiply
    82.76x = 123.90 × 52.36
  4. Step 4: Simplify right side
    82.76x = 6,487.40
  5. Step 5: Solve for x
    x = 6,487.40/82.76
  6. Step 6: Final answer
    x = 78.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.