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Finding the Fourth Proportional to 204,350.70, 306,708.30 and 120,005.40

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Solution

The fourth proportional to 204,350.70, 306,708.30 and 120,005.40 is: 180,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,350.70 : 306,708.30 = 120,005.40 : x
  2. Step 2: Convert to fraction form
    204,350.70/306,708.30 = 120,005.40/x
  3. Step 3: Cross multiply
    204,350.70x = 306,708.30 × 120,005.40
  4. Step 4: Simplify right side
    204,350.70x = 36,806,652,224.82
  5. Step 5: Solve for x
    x = 36,806,652,224.82/204,350.70
  6. Step 6: Final answer
    x = 180,115.13

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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.