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Finding the Fourth Proportional to 117.72, 175.64 and 103.14

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Solution

The fourth proportional to 117.72, 175.64 and 103.14 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 175.64 = 103.14 : x
  2. Step 2: Convert to fraction form
    117.72/175.64 = 103.14/x
  3. Step 3: Cross multiply
    117.72x = 175.64 × 103.14
  4. Step 4: Simplify right side
    117.72x = 18,114.99
  5. Step 5: Solve for x
    x = 18,114.99/117.72
  6. Step 6: Final answer
    x = 153.88

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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.