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Finding the Fourth Proportional to 130.47, 194.90 and 111.12

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Solution

The fourth proportional to 130.47, 194.90 and 111.12 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.47 : 194.90 = 111.12 : x
  2. Step 2: Convert to fraction form
    130.47/194.90 = 111.12/x
  3. Step 3: Cross multiply
    130.47x = 194.90 × 111.12
  4. Step 4: Simplify right side
    130.47x = 21,656.73
  5. Step 5: Solve for x
    x = 21,656.73/130.47
  6. Step 6: Final answer
    x = 165.99

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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.