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Finding the Fourth Proportional to 74.77, 112.24 and 47.83

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Solution

The fourth proportional to 74.77, 112.24 and 47.83 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.77 : 112.24 = 47.83 : x
  2. Step 2: Convert to fraction form
    74.77/112.24 = 47.83/x
  3. Step 3: Cross multiply
    74.77x = 112.24 × 47.83
  4. Step 4: Simplify right side
    74.77x = 5,367.88
  5. Step 5: Solve for x
    x = 5,367.88/74.77
  6. Step 6: Final answer
    x = 71.80

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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.