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Finding the Fourth Proportional to 106.62, 147.12 and 59.99

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Solution

The fourth proportional to 106.62, 147.12 and 59.99 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 147.12 = 59.99 : x
  2. Step 2: Convert to fraction form
    106.62/147.12 = 59.99/x
  3. Step 3: Cross multiply
    106.62x = 147.12 × 59.99
  4. Step 4: Simplify right side
    106.62x = 8,826.10
  5. Step 5: Solve for x
    x = 8,826.10/106.62
  6. Step 6: Final answer
    x = 82.78

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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.