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Finding the Fourth Proportional to 120.12, 165.64 and 87.36

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Solution

The fourth proportional to 120.12, 165.64 and 87.36 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 165.64 = 87.36 : x
  2. Step 2: Convert to fraction form
    120.12/165.64 = 87.36/x
  3. Step 3: Cross multiply
    120.12x = 165.64 × 87.36
  4. Step 4: Simplify right side
    120.12x = 14,470.31
  5. Step 5: Solve for x
    x = 14,470.31/120.12
  6. Step 6: Final answer
    x = 120.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.