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Finding the Fourth Proportional to 129.77, 195.03 and 86.58

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Solution

The fourth proportional to 129.77, 195.03 and 86.58 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 195.03 = 86.58 : x
  2. Step 2: Convert to fraction form
    129.77/195.03 = 86.58/x
  3. Step 3: Cross multiply
    129.77x = 195.03 × 86.58
  4. Step 4: Simplify right side
    129.77x = 16,885.70
  5. Step 5: Solve for x
    x = 16,885.70/129.77
  6. Step 6: Final answer
    x = 130.13

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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.