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Finding the Fourth Proportional to 206,896.82, 310,277.45 and 66,622.64

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Solution

The fourth proportional to 206,896.82, 310,277.45 and 66,622.64 is: 99,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.82 : 310,277.45 = 66,622.64 : x
  2. Step 2: Convert to fraction form
    206,896.82/310,277.45 = 66,622.64/x
  3. Step 3: Cross multiply
    206,896.82x = 310,277.45 × 66,622.64
  4. Step 4: Simplify right side
    206,896.82x = 20,671,501,466.64
  5. Step 5: Solve for x
    x = 20,671,501,466.64/206,896.82
  6. Step 6: Final answer
    x = 99,912.13

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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.