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Finding the Fourth Proportional to 111.53, 153.95 and 72.20

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Solution

The fourth proportional to 111.53, 153.95 and 72.20 is: 99.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 153.95 = 72.20 : x
  2. Step 2: Convert to fraction form
    111.53/153.95 = 72.20/x
  3. Step 3: Cross multiply
    111.53x = 153.95 × 72.20
  4. Step 4: Simplify right side
    111.53x = 11,115.21
  5. Step 5: Solve for x
    x = 11,115.21/111.53
  6. Step 6: Final answer
    x = 99.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.