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Finding the Fourth Proportional to 120.12, 180.21 and 48.00

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Solution

The fourth proportional to 120.12, 180.21 and 48.00 is: 72.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 180.21 = 48.00 : x
  2. Step 2: Convert to fraction form
    120.12/180.21 = 48.00/x
  3. Step 3: Cross multiply
    120.12x = 180.21 × 48.00
  4. Step 4: Simplify right side
    120.12x = 8,648.94
  5. Step 5: Solve for x
    x = 8,648.94/120.12
  6. Step 6: Final answer
    x = 72.01

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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.