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Finding the Fourth Proportional to 72.92, 108.57 and 72.36

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Solution

The fourth proportional to 72.92, 108.57 and 72.36 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.92 : 108.57 = 72.36 : x
  2. Step 2: Convert to fraction form
    72.92/108.57 = 72.36/x
  3. Step 3: Cross multiply
    72.92x = 108.57 × 72.36
  4. Step 4: Simplify right side
    72.92x = 7,856.13
  5. Step 5: Solve for x
    x = 7,856.13/72.92
  6. Step 6: Final answer
    x = 107.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.