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Finding the Fourth Proportional to 206,072.79, 309,130.16 and 71,119.30

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Solution

The fourth proportional to 206,072.79, 309,130.16 and 71,119.30 is: 106,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,072.79 : 309,130.16 = 71,119.30 : x
  2. Step 2: Convert to fraction form
    206,072.79/309,130.16 = 71,119.30/x
  3. Step 3: Cross multiply
    206,072.79x = 309,130.16 × 71,119.30
  4. Step 4: Simplify right side
    206,072.79x = 21,985,121,487.07
  5. Step 5: Solve for x
    x = 21,985,121,487.07/206,072.79
  6. Step 6: Final answer
    x = 106,686.19

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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.