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Finding the Fourth Proportional to 206,710.47, 285,260.40 and 120,728.97

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Solution

The fourth proportional to 206,710.47, 285,260.40 and 120,728.97 is: 166,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710.47 : 285,260.40 = 120,728.97 : x
  2. Step 2: Convert to fraction form
    206,710.47/285,260.40 = 120,728.97/x
  3. Step 3: Cross multiply
    206,710.47x = 285,260.40 × 120,728.97
  4. Step 4: Simplify right side
    206,710.47x = 34,439,194,273.79
  5. Step 5: Solve for x
    x = 34,439,194,273.79/206,710.47
  6. Step 6: Final answer
    x = 166,605.95

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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.