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Finding the Fourth Proportional to 206,768, 285,203.76 and 149,311.64

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Solution

The fourth proportional to 206,768, 285,203.76 and 149,311.64 is: 205,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,768 : 285,203.76 = 149,311.64 : x
  2. Step 2: Convert to fraction form
    206,768/285,203.76 = 149,311.64/x
  3. Step 3: Cross multiply
    206,768x = 285,203.76 × 149,311.64
  4. Step 4: Simplify right side
    206,768x = 42,584,241,139.77
  5. Step 5: Solve for x
    x = 42,584,241,139.77/206,768
  6. Step 6: Final answer
    x = 205,951.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.