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Finding the Fourth Proportional to 130.34, 195.08 and 78.80

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Solution

The fourth proportional to 130.34, 195.08 and 78.80 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 195.08 = 78.80 : x
  2. Step 2: Convert to fraction form
    130.34/195.08 = 78.80/x
  3. Step 3: Cross multiply
    130.34x = 195.08 × 78.80
  4. Step 4: Simplify right side
    130.34x = 15,370.93
  5. Step 5: Solve for x
    x = 15,370.93/130.34
  6. Step 6: Final answer
    x = 117.93

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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.