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Finding the Fourth Proportional to 82.50, 113.82 and 61.77

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Solution

The fourth proportional to 82.50, 113.82 and 61.77 is: 85.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.82 = 61.77 : x
  2. Step 2: Convert to fraction form
    82.50/113.82 = 61.77/x
  3. Step 3: Cross multiply
    82.50x = 113.82 × 61.77
  4. Step 4: Simplify right side
    82.50x = 7,030.66
  5. Step 5: Solve for x
    x = 7,030.66/82.50
  6. Step 6: Final answer
    x = 85.22

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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.