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Finding the Fourth Proportional to 107.95, 162.56 and 89.83

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Solution

The fourth proportional to 107.95, 162.56 and 89.83 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.95 : 162.56 = 89.83 : x
  2. Step 2: Convert to fraction form
    107.95/162.56 = 89.83/x
  3. Step 3: Cross multiply
    107.95x = 162.56 × 89.83
  4. Step 4: Simplify right side
    107.95x = 14,603.14
  5. Step 5: Solve for x
    x = 14,603.14/107.95
  6. Step 6: Final answer
    x = 135.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.