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Finding the Fourth Proportional to 104.94, 143.82 and 101.16

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Solution

The fourth proportional to 104.94, 143.82 and 101.16 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.94 : 143.82 = 101.16 : x
  2. Step 2: Convert to fraction form
    104.94/143.82 = 101.16/x
  3. Step 3: Cross multiply
    104.94x = 143.82 × 101.16
  4. Step 4: Simplify right side
    104.94x = 14,548.83
  5. Step 5: Solve for x
    x = 14,548.83/104.94
  6. Step 6: Final answer
    x = 138.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.