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Finding the Fourth Proportional to 206,857.92, 310,293.60 and 57,109.44

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Solution

The fourth proportional to 206,857.92, 310,293.60 and 57,109.44 is: 85,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.92 : 310,293.60 = 57,109.44 : x
  2. Step 2: Convert to fraction form
    206,857.92/310,293.60 = 57,109.44/x
  3. Step 3: Cross multiply
    206,857.92x = 310,293.60 × 57,109.44
  4. Step 4: Simplify right side
    206,857.92x = 17,720,693,731.58
  5. Step 5: Solve for x
    x = 17,720,693,731.58/206,857.92
  6. Step 6: Final answer
    x = 85,666.02

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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.