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Finding the Fourth Proportional to 200,139.88, 300,553.26 and 177,701.26

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Solution

The fourth proportional to 200,139.88, 300,553.26 and 177,701.26 is: 266,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,139.88 : 300,553.26 = 177,701.26 : x
  2. Step 2: Convert to fraction form
    200,139.88/300,553.26 = 177,701.26/x
  3. Step 3: Cross multiply
    200,139.88x = 300,553.26 × 177,701.26
  4. Step 4: Simplify right side
    200,139.88x = 53,408,692,999.11
  5. Step 5: Solve for x
    x = 53,408,692,999.11/200,139.88
  6. Step 6: Final answer
    x = 266,856.83

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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.