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Finding the Fourth Proportional to 206,870.73, 310,016.79 and 111,895.80

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Solution

The fourth proportional to 206,870.73, 310,016.79 and 111,895.80 is: 167,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870.73 : 310,016.79 = 111,895.80 : x
  2. Step 2: Convert to fraction form
    206,870.73/310,016.79 = 111,895.80/x
  3. Step 3: Cross multiply
    206,870.73x = 310,016.79 × 111,895.80
  4. Step 4: Simplify right side
    206,870.73x = 34,689,576,730.48
  5. Step 5: Solve for x
    x = 34,689,576,730.48/206,870.73
  6. Step 6: Final answer
    x = 167,687.22

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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.