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Finding the Fourth Proportional to 107.25, 160.61 and 61.46

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Solution

The fourth proportional to 107.25, 160.61 and 61.46 is: 92.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.25 : 160.61 = 61.46 : x
  2. Step 2: Convert to fraction form
    107.25/160.61 = 61.46/x
  3. Step 3: Cross multiply
    107.25x = 160.61 × 61.46
  4. Step 4: Simplify right side
    107.25x = 9,870.29
  5. Step 5: Solve for x
    x = 9,870.29/107.25
  6. Step 6: Final answer
    x = 92.03

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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.