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Finding the Fourth Proportional to 203,744.20, 305,702.70 and 128,921.80

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Solution

The fourth proportional to 203,744.20, 305,702.70 and 128,921.80 is: 193,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.20 : 305,702.70 = 128,921.80 : x
  2. Step 2: Convert to fraction form
    203,744.20/305,702.70 = 128,921.80/x
  3. Step 3: Cross multiply
    203,744.20x = 305,702.70 × 128,921.80
  4. Step 4: Simplify right side
    203,744.20x = 39,411,742,348.86
  5. Step 5: Solve for x
    x = 39,411,742,348.86/203,744.20
  6. Step 6: Final answer
    x = 193,437.37

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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.