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Finding the Fourth Proportional to 110.87, 153.02 and 72.17

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Solution

The fourth proportional to 110.87, 153.02 and 72.17 is: 99.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.87 : 153.02 = 72.17 : x
  2. Step 2: Convert to fraction form
    110.87/153.02 = 72.17/x
  3. Step 3: Cross multiply
    110.87x = 153.02 × 72.17
  4. Step 4: Simplify right side
    110.87x = 11,043.45
  5. Step 5: Solve for x
    x = 11,043.45/110.87
  6. Step 6: Final answer
    x = 99.61

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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.