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Finding the Fourth Proportional to 206,735.09, 310,108.91 and 56,977.83

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Solution

The fourth proportional to 206,735.09, 310,108.91 and 56,977.83 is: 85,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,735.09 : 310,108.91 = 56,977.83 : x
  2. Step 2: Convert to fraction form
    206,735.09/310,108.91 = 56,977.83/x
  3. Step 3: Cross multiply
    206,735.09x = 310,108.91 × 56,977.83
  4. Step 4: Simplify right side
    206,735.09x = 17,669,332,470.58
  5. Step 5: Solve for x
    x = 17,669,332,470.58/206,735.09
  6. Step 6: Final answer
    x = 85,468.48

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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.