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Finding the Fourth Proportional to 94.51, 130.52 and 61.78

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Solution

The fourth proportional to 94.51, 130.52 and 61.78 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.51 : 130.52 = 61.78 : x
  2. Step 2: Convert to fraction form
    94.51/130.52 = 61.78/x
  3. Step 3: Cross multiply
    94.51x = 130.52 × 61.78
  4. Step 4: Simplify right side
    94.51x = 8,063.61
  5. Step 5: Solve for x
    x = 8,063.61/94.51
  6. Step 6: Final answer
    x = 85.32

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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.