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Finding the Fourth Proportional to 73.99, 111.05 and 56.82

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Solution

The fourth proportional to 73.99, 111.05 and 56.82 is: 85.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.99 : 111.05 = 56.82 : x
  2. Step 2: Convert to fraction form
    73.99/111.05 = 56.82/x
  3. Step 3: Cross multiply
    73.99x = 111.05 × 56.82
  4. Step 4: Simplify right side
    73.99x = 6,309.45
  5. Step 5: Solve for x
    x = 6,309.45/73.99
  6. Step 6: Final answer
    x = 85.27

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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.