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Finding the Fourth Proportional to 116.21, 174.32 and 47.77

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Solution

The fourth proportional to 116.21, 174.32 and 47.77 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.21 : 174.32 = 47.77 : x
  2. Step 2: Convert to fraction form
    116.21/174.32 = 47.77/x
  3. Step 3: Cross multiply
    116.21x = 174.32 × 47.77
  4. Step 4: Simplify right side
    116.21x = 8,326.77
  5. Step 5: Solve for x
    x = 8,326.77/116.21
  6. Step 6: Final answer
    x = 71.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.