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Finding the Fourth Proportional to 138,830.78, 208,246.17 and 33,649.75

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Solution

The fourth proportional to 138,830.78, 208,246.17 and 33,649.75 is: 50,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.78 : 208,246.17 = 33,649.75 : x
  2. Step 2: Convert to fraction form
    138,830.78/208,246.17 = 33,649.75/x
  3. Step 3: Cross multiply
    138,830.78x = 208,246.17 × 33,649.75
  4. Step 4: Simplify right side
    138,830.78x = 7,007,431,558.96
  5. Step 5: Solve for x
    x = 7,007,431,558.96/138,830.78
  6. Step 6: Final answer
    x = 50,474.63

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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.