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Finding the Fourth Proportional to 117.03, 174.70 and 111.77

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Solution

The fourth proportional to 117.03, 174.70 and 111.77 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.03 : 174.70 = 111.77 : x
  2. Step 2: Convert to fraction form
    117.03/174.70 = 111.77/x
  3. Step 3: Cross multiply
    117.03x = 174.70 × 111.77
  4. Step 4: Simplify right side
    117.03x = 19,526.22
  5. Step 5: Solve for x
    x = 19,526.22/117.03
  6. Step 6: Final answer
    x = 166.85

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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.