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Finding the Fourth Proportional to 220,998.64, 305,015.10 and 130,377.10

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Solution

The fourth proportional to 220,998.64, 305,015.10 and 130,377.10 is: 179,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,998.64 : 305,015.10 = 130,377.10 : x
  2. Step 2: Convert to fraction form
    220,998.64/305,015.10 = 130,377.10/x
  3. Step 3: Cross multiply
    220,998.64x = 305,015.10 × 130,377.10
  4. Step 4: Simplify right side
    220,998.64x = 39,766,984,194.21
  5. Step 5: Solve for x
    x = 39,766,984,194.21/220,998.64
  6. Step 6: Final answer
    x = 179,942.21

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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.