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Finding the Fourth Proportional to 206,896.90, 310,316.55 and 66,669.70

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Solution

The fourth proportional to 206,896.90, 310,316.55 and 66,669.70 is: 99,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.90 : 310,316.55 = 66,669.70 : x
  2. Step 2: Convert to fraction form
    206,896.90/310,316.55 = 66,669.70/x
  3. Step 3: Cross multiply
    206,896.90x = 310,316.55 × 66,669.70
  4. Step 4: Simplify right side
    206,896.90x = 20,688,711,293.54
  5. Step 5: Solve for x
    x = 20,688,711,293.54/206,896.90
  6. Step 6: Final answer
    x = 99,995.27

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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.