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Finding the Fourth Proportional to 130.39, 195.62 and 81.63

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Solution

The fourth proportional to 130.39, 195.62 and 81.63 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.39 : 195.62 = 81.63 : x
  2. Step 2: Convert to fraction form
    130.39/195.62 = 81.63/x
  3. Step 3: Cross multiply
    130.39x = 195.62 × 81.63
  4. Step 4: Simplify right side
    130.39x = 15,968.46
  5. Step 5: Solve for x
    x = 15,968.46/130.39
  6. Step 6: Final answer
    x = 122.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.