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Finding the Fourth Proportional to 105.93, 146.10 and 85.17

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Solution

The fourth proportional to 105.93, 146.10 and 85.17 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 146.10 = 85.17 : x
  2. Step 2: Convert to fraction form
    105.93/146.10 = 85.17/x
  3. Step 3: Cross multiply
    105.93x = 146.10 × 85.17
  4. Step 4: Simplify right side
    105.93x = 12,443.34
  5. Step 5: Solve for x
    x = 12,443.34/105.93
  6. Step 6: Final answer
    x = 117.47

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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.