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Finding the Fourth Proportional to 117.17, 161.96 and 106.77

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Solution

The fourth proportional to 117.17, 161.96 and 106.77 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.17 : 161.96 = 106.77 : x
  2. Step 2: Convert to fraction form
    117.17/161.96 = 106.77/x
  3. Step 3: Cross multiply
    117.17x = 161.96 × 106.77
  4. Step 4: Simplify right side
    117.17x = 17,291.94
  5. Step 5: Solve for x
    x = 17,291.94/117.17
  6. Step 6: Final answer
    x = 147.59

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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.