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Finding the Fourth Proportional to 71.48, 98.62 and 50.81

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Solution

The fourth proportional to 71.48, 98.62 and 50.81 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.48 : 98.62 = 50.81 : x
  2. Step 2: Convert to fraction form
    71.48/98.62 = 50.81/x
  3. Step 3: Cross multiply
    71.48x = 98.62 × 50.81
  4. Step 4: Simplify right side
    71.48x = 5,010.26
  5. Step 5: Solve for x
    x = 5,010.26/71.48
  6. Step 6: Final answer
    x = 70.09

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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.