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Finding the Fourth Proportional to 202,461.80, 303,692.70 and 90,141.80

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Solution

The fourth proportional to 202,461.80, 303,692.70 and 90,141.80 is: 135,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.80 : 303,692.70 = 90,141.80 : x
  2. Step 2: Convert to fraction form
    202,461.80/303,692.70 = 90,141.80/x
  3. Step 3: Cross multiply
    202,461.80x = 303,692.70 × 90,141.80
  4. Step 4: Simplify right side
    202,461.80x = 27,375,406,624.86
  5. Step 5: Solve for x
    x = 27,375,406,624.86/202,461.80
  6. Step 6: Final answer
    x = 135,212.70

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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.