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Finding the Fourth Proportional to 73.89, 101.57 and 61.47

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Solution

The fourth proportional to 73.89, 101.57 and 61.47 is: 84.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.89 : 101.57 = 61.47 : x
  2. Step 2: Convert to fraction form
    73.89/101.57 = 61.47/x
  3. Step 3: Cross multiply
    73.89x = 101.57 × 61.47
  4. Step 4: Simplify right side
    73.89x = 6,243.20
  5. Step 5: Solve for x
    x = 6,243.20/73.89
  6. Step 6: Final answer
    x = 84.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.