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Finding the Fourth Proportional to 94.08, 129.94 and 78.50

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Solution

The fourth proportional to 94.08, 129.94 and 78.50 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.08 : 129.94 = 78.50 : x
  2. Step 2: Convert to fraction form
    94.08/129.94 = 78.50/x
  3. Step 3: Cross multiply
    94.08x = 129.94 × 78.50
  4. Step 4: Simplify right side
    94.08x = 10,200.29
  5. Step 5: Solve for x
    x = 10,200.29/94.08
  6. Step 6: Final answer
    x = 108.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.