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Finding the Fourth Proportional to 194,375.40, 291,692.70 and 89,140.20

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Solution

The fourth proportional to 194,375.40, 291,692.70 and 89,140.20 is: 133,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,375.40 : 291,692.70 = 89,140.20 : x
  2. Step 2: Convert to fraction form
    194,375.40/291,692.70 = 89,140.20/x
  3. Step 3: Cross multiply
    194,375.40x = 291,692.70 × 89,140.20
  4. Step 4: Simplify right side
    194,375.40x = 26,001,545,616.54
  5. Step 5: Solve for x
    x = 26,001,545,616.54/194,375.40
  6. Step 6: Final answer
    x = 133,769.73

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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.