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Finding the Fourth Proportional to 119.90, 166.10 and 117.06

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Solution

The fourth proportional to 119.90, 166.10 and 117.06 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.90 : 166.10 = 117.06 : x
  2. Step 2: Convert to fraction form
    119.90/166.10 = 117.06/x
  3. Step 3: Cross multiply
    119.90x = 166.10 × 117.06
  4. Step 4: Simplify right side
    119.90x = 19,443.08
  5. Step 5: Solve for x
    x = 19,443.08/119.90
  6. Step 6: Final answer
    x = 162.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.