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Finding the Fourth Proportional to 82.50, 113.86 and 56.68

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Solution

The fourth proportional to 82.50, 113.86 and 56.68 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.86 = 56.68 : x
  2. Step 2: Convert to fraction form
    82.50/113.86 = 56.68/x
  3. Step 3: Cross multiply
    82.50x = 113.86 × 56.68
  4. Step 4: Simplify right side
    82.50x = 6,453.58
  5. Step 5: Solve for x
    x = 6,453.58/82.50
  6. Step 6: Final answer
    x = 78.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.