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Finding the Fourth Proportional to 101, 152.11 and 81.16

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Solution

The fourth proportional to 101, 152.11 and 81.16 is: 122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 152.11 = 81.16 : x
  2. Step 2: Convert to fraction form
    101/152.11 = 81.16/x
  3. Step 3: Cross multiply
    101x = 152.11 × 81.16
  4. Step 4: Simplify right side
    101x = 12,345.25
  5. Step 5: Solve for x
    x = 12,345.25/101
  6. Step 6: Final answer
    x = 122.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.