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Finding the Fourth Proportional to 203,414.70, 305,122.05 and 55,670.70

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Solution

The fourth proportional to 203,414.70, 305,122.05 and 55,670.70 is: 83,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.70 : 305,122.05 = 55,670.70 : x
  2. Step 2: Convert to fraction form
    203,414.70/305,122.05 = 55,670.70/x
  3. Step 3: Cross multiply
    203,414.70x = 305,122.05 × 55,670.70
  4. Step 4: Simplify right side
    203,414.70x = 16,986,358,108.94
  5. Step 5: Solve for x
    x = 16,986,358,108.94/203,414.70
  6. Step 6: Final answer
    x = 83,506.05

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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.