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Finding the Fourth Proportional to 206,879.46, 310,313.02 and 57,128.90

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Solution

The fourth proportional to 206,879.46, 310,313.02 and 57,128.90 is: 85,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879.46 : 310,313.02 = 57,128.90 : x
  2. Step 2: Convert to fraction form
    206,879.46/310,313.02 = 57,128.90/x
  3. Step 3: Cross multiply
    206,879.46x = 310,313.02 × 57,128.90
  4. Step 4: Simplify right side
    206,879.46x = 17,727,841,488.28
  5. Step 5: Solve for x
    x = 17,727,841,488.28/206,879.46
  6. Step 6: Final answer
    x = 85,691.65

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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.