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Finding the Fourth Proportional to 104.81, 145.39 and 101.12

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Solution

The fourth proportional to 104.81, 145.39 and 101.12 is: 140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 145.39 = 101.12 : x
  2. Step 2: Convert to fraction form
    104.81/145.39 = 101.12/x
  3. Step 3: Cross multiply
    104.81x = 145.39 × 101.12
  4. Step 4: Simplify right side
    104.81x = 14,701.84
  5. Step 5: Solve for x
    x = 14,701.84/104.81
  6. Step 6: Final answer
    x = 140.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.