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Finding the Fourth Proportional to 107.77, 160.62 and 87.11

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Solution

The fourth proportional to 107.77, 160.62 and 87.11 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.77 : 160.62 = 87.11 : x
  2. Step 2: Convert to fraction form
    107.77/160.62 = 87.11/x
  3. Step 3: Cross multiply
    107.77x = 160.62 × 87.11
  4. Step 4: Simplify right side
    107.77x = 13,991.61
  5. Step 5: Solve for x
    x = 13,991.61/107.77
  6. Step 6: Final answer
    x = 129.83

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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.