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Finding the Fourth Proportional to 130.78, 196.03 and 49.56

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Solution

The fourth proportional to 130.78, 196.03 and 49.56 is: 74.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 196.03 = 49.56 : x
  2. Step 2: Convert to fraction form
    130.78/196.03 = 49.56/x
  3. Step 3: Cross multiply
    130.78x = 196.03 × 49.56
  4. Step 4: Simplify right side
    130.78x = 9,715.25
  5. Step 5: Solve for x
    x = 9,715.25/130.78
  6. Step 6: Final answer
    x = 74.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.