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Finding the Fourth Proportional to 111.02, 153.09 and 98.72

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Solution

The fourth proportional to 111.02, 153.09 and 98.72 is: 136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 153.09 = 98.72 : x
  2. Step 2: Convert to fraction form
    111.02/153.09 = 98.72/x
  3. Step 3: Cross multiply
    111.02x = 153.09 × 98.72
  4. Step 4: Simplify right side
    111.02x = 15,112.85
  5. Step 5: Solve for x
    x = 15,112.85/111.02
  6. Step 6: Final answer
    x = 136.13

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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.