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Finding the Fourth Proportional to 138,827.78, 208,241.67 and 33,646.75

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Solution

The fourth proportional to 138,827.78, 208,241.67 and 33,646.75 is: 50,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.78 : 208,241.67 = 33,646.75 : x
  2. Step 2: Convert to fraction form
    138,827.78/208,241.67 = 33,646.75/x
  3. Step 3: Cross multiply
    138,827.78x = 208,241.67 × 33,646.75
  4. Step 4: Simplify right side
    138,827.78x = 7,006,655,343.01
  5. Step 5: Solve for x
    x = 7,006,655,343.01/138,827.78
  6. Step 6: Final answer
    x = 50,470.12

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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.