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Finding the Fourth Proportional to 130.96, 181.54 and 125.83

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Solution

The fourth proportional to 130.96, 181.54 and 125.83 is: 174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.96 : 181.54 = 125.83 : x
  2. Step 2: Convert to fraction form
    130.96/181.54 = 125.83/x
  3. Step 3: Cross multiply
    130.96x = 181.54 × 125.83
  4. Step 4: Simplify right side
    130.96x = 22,841.96
  5. Step 5: Solve for x
    x = 22,841.96/130.96
  6. Step 6: Final answer
    x = 174.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.