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Finding the Fourth Proportional to 220,781.44, 304,683.84 and 120,184.96

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Solution

The fourth proportional to 220,781.44, 304,683.84 and 120,184.96 is: 165,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,781.44 : 304,683.84 = 120,184.96 : x
  2. Step 2: Convert to fraction form
    220,781.44/304,683.84 = 120,184.96/x
  3. Step 3: Cross multiply
    220,781.44x = 304,683.84 × 120,184.96
  4. Step 4: Simplify right side
    220,781.44x = 36,618,415,123.05
  5. Step 5: Solve for x
    x = 36,618,415,123.05/220,781.44
  6. Step 6: Final answer
    x = 165,858.21

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1.5x scale

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.