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Finding the Fourth Proportional to 206,871.73, 310,018.29 and 111,896.80

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Solution

The fourth proportional to 206,871.73, 310,018.29 and 111,896.80 is: 167,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.73 : 310,018.29 = 111,896.80 : x
  2. Step 2: Convert to fraction form
    206,871.73/310,018.29 = 111,896.80/x
  3. Step 3: Cross multiply
    206,871.73x = 310,018.29 × 111,896.80
  4. Step 4: Simplify right side
    206,871.73x = 34,690,054,592.47
  5. Step 5: Solve for x
    x = 34,690,054,592.47/206,871.73
  6. Step 6: Final answer
    x = 167,688.72

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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.