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Finding the Fourth Proportional to 106.54, 147.23 and 86.83

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Solution

The fourth proportional to 106.54, 147.23 and 86.83 is: 119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 147.23 = 86.83 : x
  2. Step 2: Convert to fraction form
    106.54/147.23 = 86.83/x
  3. Step 3: Cross multiply
    106.54x = 147.23 × 86.83
  4. Step 4: Simplify right side
    106.54x = 12,783.98
  5. Step 5: Solve for x
    x = 12,783.98/106.54
  6. Step 6: Final answer
    x = 119.99

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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.