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Finding the Fourth Proportional to 72.16, 107.96 and 53.12

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Solution

The fourth proportional to 72.16, 107.96 and 53.12 is: 79.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 107.96 = 53.12 : x
  2. Step 2: Convert to fraction form
    72.16/107.96 = 53.12/x
  3. Step 3: Cross multiply
    72.16x = 107.96 × 53.12
  4. Step 4: Simplify right side
    72.16x = 5,734.84
  5. Step 5: Solve for x
    x = 5,734.84/72.16
  6. Step 6: Final answer
    x = 79.47

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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.