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Finding the Fourth Proportional to 91.61, 137.62 and 79.46

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Solution

The fourth proportional to 91.61, 137.62 and 79.46 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.61 : 137.62 = 79.46 : x
  2. Step 2: Convert to fraction form
    91.61/137.62 = 79.46/x
  3. Step 3: Cross multiply
    91.61x = 137.62 × 79.46
  4. Step 4: Simplify right side
    91.61x = 10,935.29
  5. Step 5: Solve for x
    x = 10,935.29/91.61
  6. Step 6: Final answer
    x = 119.37

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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.