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Finding the Fourth Proportional to 73.86, 101.91 and 61.54

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Solution

The fourth proportional to 73.86, 101.91 and 61.54 is: 84.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 101.91 = 61.54 : x
  2. Step 2: Convert to fraction form
    73.86/101.91 = 61.54/x
  3. Step 3: Cross multiply
    73.86x = 101.91 × 61.54
  4. Step 4: Simplify right side
    73.86x = 6,271.54
  5. Step 5: Solve for x
    x = 6,271.54/73.86
  6. Step 6: Final answer
    x = 84.91

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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.