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Finding the Fourth Proportional to 120.35, 180.56 and 74.77

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Solution

The fourth proportional to 120.35, 180.56 and 74.77 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 180.56 = 74.77 : x
  2. Step 2: Convert to fraction form
    120.35/180.56 = 74.77/x
  3. Step 3: Cross multiply
    120.35x = 180.56 × 74.77
  4. Step 4: Simplify right side
    120.35x = 13,500.21
  5. Step 5: Solve for x
    x = 13,500.21/120.35
  6. Step 6: Final answer
    x = 112.17

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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.