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Finding the Fourth Proportional to 74.12, 101.62 and 72.92

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Solution

The fourth proportional to 74.12, 101.62 and 72.92 is: 99.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.12 : 101.62 = 72.92 : x
  2. Step 2: Convert to fraction form
    74.12/101.62 = 72.92/x
  3. Step 3: Cross multiply
    74.12x = 101.62 × 72.92
  4. Step 4: Simplify right side
    74.12x = 7,410.13
  5. Step 5: Solve for x
    x = 7,410.13/74.12
  6. Step 6: Final answer
    x = 99.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.