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Finding the Fourth Proportional to 91.63, 137.27 and 72.16

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Solution

The fourth proportional to 91.63, 137.27 and 72.16 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.63 : 137.27 = 72.16 : x
  2. Step 2: Convert to fraction form
    91.63/137.27 = 72.16/x
  3. Step 3: Cross multiply
    91.63x = 137.27 × 72.16
  4. Step 4: Simplify right side
    91.63x = 9,905.40
  5. Step 5: Solve for x
    x = 9,905.40/91.63
  6. Step 6: Final answer
    x = 108.10

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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.