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Finding the Fourth Proportional to 105.73, 146.03 and 87.35

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Solution

The fourth proportional to 105.73, 146.03 and 87.35 is: 120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.73 : 146.03 = 87.35 : x
  2. Step 2: Convert to fraction form
    105.73/146.03 = 87.35/x
  3. Step 3: Cross multiply
    105.73x = 146.03 × 87.35
  4. Step 4: Simplify right side
    105.73x = 12,754.55
  5. Step 5: Solve for x
    x = 12,754.55/105.73
  6. Step 6: Final answer
    x = 120.64

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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.