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Finding the Fourth Proportional to 111.38, 153.64 and 72.50

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Solution

The fourth proportional to 111.38, 153.64 and 72.50 is: 100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 153.64 = 72.50 : x
  2. Step 2: Convert to fraction form
    111.38/153.64 = 72.50/x
  3. Step 3: Cross multiply
    111.38x = 153.64 × 72.50
  4. Step 4: Simplify right side
    111.38x = 11,138.90
  5. Step 5: Solve for x
    x = 11,138.90/111.38
  6. Step 6: Final answer
    x = 100.01

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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.