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Finding the Fourth Proportional to 208,027.10, 311,250.90 and 138,043.10

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Solution

The fourth proportional to 208,027.10, 311,250.90 and 138,043.10 is: 206,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,027.10 : 311,250.90 = 138,043.10 : x
  2. Step 2: Convert to fraction form
    208,027.10/311,250.90 = 138,043.10/x
  3. Step 3: Cross multiply
    208,027.10x = 311,250.90 × 138,043.10
  4. Step 4: Simplify right side
    208,027.10x = 42,966,039,113.79
  5. Step 5: Solve for x
    x = 42,966,039,113.79/208,027.10
  6. Step 6: Final answer
    x = 206,540.59

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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.