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Finding the Fourth Proportional to 106.84, 147.42 and 60.22

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Solution

The fourth proportional to 106.84, 147.42 and 60.22 is: 83.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 147.42 = 60.22 : x
  2. Step 2: Convert to fraction form
    106.84/147.42 = 60.22/x
  3. Step 3: Cross multiply
    106.84x = 147.42 × 60.22
  4. Step 4: Simplify right side
    106.84x = 8,877.63
  5. Step 5: Solve for x
    x = 8,877.63/106.84
  6. Step 6: Final answer
    x = 83.09

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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.