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Finding the Fourth Proportional to 94.48, 130.40 and 78.06

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Solution

The fourth proportional to 94.48, 130.40 and 78.06 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.48 : 130.40 = 78.06 : x
  2. Step 2: Convert to fraction form
    94.48/130.40 = 78.06/x
  3. Step 3: Cross multiply
    94.48x = 130.40 × 78.06
  4. Step 4: Simplify right side
    94.48x = 10,179.02
  5. Step 5: Solve for x
    x = 10,179.02/94.48
  6. Step 6: Final answer
    x = 107.74

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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.