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Finding the Fourth Proportional to 120,742.70, 181,105.95 and 31,994.30

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Solution

The fourth proportional to 120,742.70, 181,105.95 and 31,994.30 is: 47,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,742.70 : 181,105.95 = 31,994.30 : x
  2. Step 2: Convert to fraction form
    120,742.70/181,105.95 = 31,994.30/x
  3. Step 3: Cross multiply
    120,742.70x = 181,105.95 × 31,994.30
  4. Step 4: Simplify right side
    120,742.70x = 5,794,358,096.09
  5. Step 5: Solve for x
    x = 5,794,358,096.09/120,742.70
  6. Step 6: Final answer
    x = 47,989.30

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1.5x scale

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.