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Finding the Fourth Proportional to 94.59, 130.47 and 73.82

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Solution

The fourth proportional to 94.59, 130.47 and 73.82 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.59 : 130.47 = 73.82 : x
  2. Step 2: Convert to fraction form
    94.59/130.47 = 73.82/x
  3. Step 3: Cross multiply
    94.59x = 130.47 × 73.82
  4. Step 4: Simplify right side
    94.59x = 9,630.64
  5. Step 5: Solve for x
    x = 9,630.64/94.59
  6. Step 6: Final answer
    x = 101.81

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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.