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Finding the Fourth Proportional to 71.13, 97.88 and 58.77

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Solution

The fourth proportional to 71.13, 97.88 and 58.77 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.13 : 97.88 = 58.77 : x
  2. Step 2: Convert to fraction form
    71.13/97.88 = 58.77/x
  3. Step 3: Cross multiply
    71.13x = 97.88 × 58.77
  4. Step 4: Simplify right side
    71.13x = 5,752.11
  5. Step 5: Solve for x
    x = 5,752.11/71.13
  6. Step 6: Final answer
    x = 80.87

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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.