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Finding the Fourth Proportional to 94.66, 130.48 and 78.25

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Solution

The fourth proportional to 94.66, 130.48 and 78.25 is: 107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.66 : 130.48 = 78.25 : x
  2. Step 2: Convert to fraction form
    94.66/130.48 = 78.25/x
  3. Step 3: Cross multiply
    94.66x = 130.48 × 78.25
  4. Step 4: Simplify right side
    94.66x = 10,210.06
  5. Step 5: Solve for x
    x = 10,210.06/94.66
  6. Step 6: Final answer
    x = 107.86

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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.