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Finding the Fourth Proportional to 72.68, 100.25 and 59.57

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Solution

The fourth proportional to 72.68, 100.25 and 59.57 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.68 : 100.25 = 59.57 : x
  2. Step 2: Convert to fraction form
    72.68/100.25 = 59.57/x
  3. Step 3: Cross multiply
    72.68x = 100.25 × 59.57
  4. Step 4: Simplify right side
    72.68x = 5,971.09
  5. Step 5: Solve for x
    x = 5,971.09/72.68
  6. Step 6: Final answer
    x = 82.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.