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Finding the Fourth Proportional to 74.47, 111.72 and 36.00

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Solution

The fourth proportional to 74.47, 111.72 and 36.00 is: 54.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.47 : 111.72 = 36.00 : x
  2. Step 2: Convert to fraction form
    74.47/111.72 = 36.00/x
  3. Step 3: Cross multiply
    74.47x = 111.72 × 36.00
  4. Step 4: Simplify right side
    74.47x = 4,022.11
  5. Step 5: Solve for x
    x = 4,022.11/74.47
  6. Step 6: Final answer
    x = 54.01

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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.