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Finding the Fourth Proportional to 117.02, 174.40 and 111.94

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Solution

The fourth proportional to 117.02, 174.40 and 111.94 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 174.40 = 111.94 : x
  2. Step 2: Convert to fraction form
    117.02/174.40 = 111.94/x
  3. Step 3: Cross multiply
    117.02x = 174.40 × 111.94
  4. Step 4: Simplify right side
    117.02x = 19,522.34
  5. Step 5: Solve for x
    x = 19,522.34/117.02
  6. Step 6: Final answer
    x = 166.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.