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Finding the Fourth Proportional to 67.70, 101.54 and 19.59

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Solution

The fourth proportional to 67.70, 101.54 and 19.59 is: 29.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 101.54 = 19.59 : x
  2. Step 2: Convert to fraction form
    67.70/101.54 = 19.59/x
  3. Step 3: Cross multiply
    67.70x = 101.54 × 19.59
  4. Step 4: Simplify right side
    67.70x = 1,989.07
  5. Step 5: Solve for x
    x = 1,989.07/67.70
  6. Step 6: Final answer
    x = 29.38

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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.