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Finding the Fourth Proportional to 109.14, 150.54 and 98.70

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Solution

The fourth proportional to 109.14, 150.54 and 98.70 is: 136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 150.54 = 98.70 : x
  2. Step 2: Convert to fraction form
    109.14/150.54 = 98.70/x
  3. Step 3: Cross multiply
    109.14x = 150.54 × 98.70
  4. Step 4: Simplify right side
    109.14x = 14,858.30
  5. Step 5: Solve for x
    x = 14,858.30/109.14
  6. Step 6: Final answer
    x = 136.14

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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.