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Finding the Fourth Proportional to 206,868.73, 310,013.79 and 111,893.80

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Solution

The fourth proportional to 206,868.73, 310,013.79 and 111,893.80 is: 167,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,868.73 : 310,013.79 = 111,893.80 : x
  2. Step 2: Convert to fraction form
    206,868.73/310,013.79 = 111,893.80/x
  3. Step 3: Cross multiply
    206,868.73x = 310,013.79 × 111,893.80
  4. Step 4: Simplify right side
    206,868.73x = 34,688,621,015.50
  5. Step 5: Solve for x
    x = 34,688,621,015.50/206,868.73
  6. Step 6: Final answer
    x = 167,684.22

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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.