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Finding the Fourth Proportional to 206,801.26, 310,004.72 and 66,461.26

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Solution

The fourth proportional to 206,801.26, 310,004.72 and 66,461.26 is: 99,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.26 : 310,004.72 = 66,461.26 : x
  2. Step 2: Convert to fraction form
    206,801.26/310,004.72 = 66,461.26/x
  3. Step 3: Cross multiply
    206,801.26x = 310,004.72 × 66,461.26
  4. Step 4: Simplify right side
    206,801.26x = 20,603,304,297.15
  5. Step 5: Solve for x
    x = 20,603,304,297.15/206,801.26
  6. Step 6: Final answer
    x = 99,628.52

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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.