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Finding the Fourth Proportional to 91.59, 137.22 and 72.45

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Solution

The fourth proportional to 91.59, 137.22 and 72.45 is: 108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.59 : 137.22 = 72.45 : x
  2. Step 2: Convert to fraction form
    91.59/137.22 = 72.45/x
  3. Step 3: Cross multiply
    91.59x = 137.22 × 72.45
  4. Step 4: Simplify right side
    91.59x = 9,941.59
  5. Step 5: Solve for x
    x = 9,941.59/91.59
  6. Step 6: Final answer
    x = 108.54

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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.