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Finding the Fourth Proportional to 206,699.29, 310,020.69 and 56,918.04

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Solution

The fourth proportional to 206,699.29, 310,020.69 and 56,918.04 is: 85,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,699.29 : 310,020.69 = 56,918.04 : x
  2. Step 2: Convert to fraction form
    206,699.29/310,020.69 = 56,918.04/x
  3. Step 3: Cross multiply
    206,699.29x = 310,020.69 × 56,918.04
  4. Step 4: Simplify right side
    206,699.29x = 17,645,770,668.90
  5. Step 5: Solve for x
    x = 17,645,770,668.90/206,699.29
  6. Step 6: Final answer
    x = 85,369.28

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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.