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Finding the Fourth Proportional to 94.80, 141.36 and 86.40

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Solution

The fourth proportional to 94.80, 141.36 and 86.40 is: 128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.80 : 141.36 = 86.40 : x
  2. Step 2: Convert to fraction form
    94.80/141.36 = 86.40/x
  3. Step 3: Cross multiply
    94.80x = 141.36 × 86.40
  4. Step 4: Simplify right side
    94.80x = 12,213.50
  5. Step 5: Solve for x
    x = 12,213.50/94.80
  6. Step 6: Final answer
    x = 128.83

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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.