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Finding the Fourth Proportional to 105.58, 158.16 and 61.62

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Solution

The fourth proportional to 105.58, 158.16 and 61.62 is: 92.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.58 : 158.16 = 61.62 : x
  2. Step 2: Convert to fraction form
    105.58/158.16 = 61.62/x
  3. Step 3: Cross multiply
    105.58x = 158.16 × 61.62
  4. Step 4: Simplify right side
    105.58x = 9,745.82
  5. Step 5: Solve for x
    x = 9,745.82/105.58
  6. Step 6: Final answer
    x = 92.31

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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.