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Finding the Fourth Proportional to 190,471.59, 285,679.85 and 133,372.26

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Solution

The fourth proportional to 190,471.59, 285,679.85 and 133,372.26 is: 200,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,471.59 : 285,679.85 = 133,372.26 : x
  2. Step 2: Convert to fraction form
    190,471.59/285,679.85 = 133,372.26/x
  3. Step 3: Cross multiply
    190,471.59x = 285,679.85 × 133,372.26
  4. Step 4: Simplify right side
    190,471.59x = 38,101,766,564.10
  5. Step 5: Solve for x
    x = 38,101,766,564.10/190,471.59
  6. Step 6: Final answer
    x = 200,039.11

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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.