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Finding the Fourth Proportional to 130, 194.06 and 111.76

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Solution

The fourth proportional to 130, 194.06 and 111.76 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 194.06 = 111.76 : x
  2. Step 2: Convert to fraction form
    130/194.06 = 111.76/x
  3. Step 3: Cross multiply
    130x = 194.06 × 111.76
  4. Step 4: Simplify right side
    130x = 21,688.15
  5. Step 5: Solve for x
    x = 21,688.15/130
  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.