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Finding the Fourth Proportional to 73.74, 101.74 and 51.86

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Solution

The fourth proportional to 73.74, 101.74 and 51.86 is: 71.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 101.74 = 51.86 : x
  2. Step 2: Convert to fraction form
    73.74/101.74 = 51.86/x
  3. Step 3: Cross multiply
    73.74x = 101.74 × 51.86
  4. Step 4: Simplify right side
    73.74x = 5,276.24
  5. Step 5: Solve for x
    x = 5,276.24/73.74
  6. Step 6: Final answer
    x = 71.55

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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.