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Finding the Fourth Proportional to 204,557.05, 306,692.92 and 90,642.90

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Solution

The fourth proportional to 204,557.05, 306,692.92 and 90,642.90 is: 135,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,557.05 : 306,692.92 = 90,642.90 : x
  2. Step 2: Convert to fraction form
    204,557.05/306,692.92 = 90,642.90/x
  3. Step 3: Cross multiply
    204,557.05x = 306,692.92 × 90,642.90
  4. Step 4: Simplify right side
    204,557.05x = 27,799,536,941.67
  5. Step 5: Solve for x
    x = 27,799,536,941.67/204,557.05
  6. Step 6: Final answer
    x = 135,901.14

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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.