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Finding the Fourth Proportional to 105.46, 157.88 and 71.14

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Solution

The fourth proportional to 105.46, 157.88 and 71.14 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 157.88 = 71.14 : x
  2. Step 2: Convert to fraction form
    105.46/157.88 = 71.14/x
  3. Step 3: Cross multiply
    105.46x = 157.88 × 71.14
  4. Step 4: Simplify right side
    105.46x = 11,231.58
  5. Step 5: Solve for x
    x = 11,231.58/105.46
  6. Step 6: Final answer
    x = 106.50

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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.