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Finding the Fourth Proportional to 133,012, 199,608.45 and 54,140.59

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Solution

The fourth proportional to 133,012, 199,608.45 and 54,140.59 is: 81,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,012 : 199,608.45 = 54,140.59 : x
  2. Step 2: Convert to fraction form
    133,012/199,608.45 = 54,140.59/x
  3. Step 3: Cross multiply
    133,012x = 199,608.45 × 54,140.59
  4. Step 4: Simplify right side
    133,012x = 10,806,919,251.99
  5. Step 5: Solve for x
    x = 10,806,919,251.99/133,012
  6. Step 6: Final answer
    x = 81,247.70

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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.