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Finding the Fourth Proportional to 107.84, 161.09 and 91.64

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Solution

The fourth proportional to 107.84, 161.09 and 91.64 is: 136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 161.09 = 91.64 : x
  2. Step 2: Convert to fraction form
    107.84/161.09 = 91.64/x
  3. Step 3: Cross multiply
    107.84x = 161.09 × 91.64
  4. Step 4: Simplify right side
    107.84x = 14,762.29
  5. Step 5: Solve for x
    x = 14,762.29/107.84
  6. Step 6: Final answer
    x = 136.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.