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Finding the Fourth Proportional to 94.68, 130.71 and 72.78

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Solution

The fourth proportional to 94.68, 130.71 and 72.78 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.68 : 130.71 = 72.78 : x
  2. Step 2: Convert to fraction form
    94.68/130.71 = 72.78/x
  3. Step 3: Cross multiply
    94.68x = 130.71 × 72.78
  4. Step 4: Simplify right side
    94.68x = 9,513.07
  5. Step 5: Solve for x
    x = 9,513.07/94.68
  6. Step 6: Final answer
    x = 100.48

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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.