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Finding the Fourth Proportional to 91.77, 136.90 and 85.22

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Solution

The fourth proportional to 91.77, 136.90 and 85.22 is: 127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.77 : 136.90 = 85.22 : x
  2. Step 2: Convert to fraction form
    91.77/136.90 = 85.22/x
  3. Step 3: Cross multiply
    91.77x = 136.90 × 85.22
  4. Step 4: Simplify right side
    91.77x = 11,666.19
  5. Step 5: Solve for x
    x = 11,666.19/91.77
  6. Step 6: Final answer
    x = 127.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.