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Finding the Fourth Proportional to 206,975.25, 310,517.55 and 66,737.52

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Solution

The fourth proportional to 206,975.25, 310,517.55 and 66,737.52 is: 100,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,975.25 : 310,517.55 = 66,737.52 : x
  2. Step 2: Convert to fraction form
    206,975.25/310,517.55 = 66,737.52/x
  3. Step 3: Cross multiply
    206,975.25x = 310,517.55 × 66,737.52
  4. Step 4: Simplify right side
    206,975.25x = 20,723,171,203.48
  5. Step 5: Solve for x
    x = 20,723,171,203.48/206,975.25
  6. Step 6: Final answer
    x = 100,123.91

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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.