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Finding the Fourth Proportional to 206,886.82, 310,321.80 and 71,981.77

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Solution

The fourth proportional to 206,886.82, 310,321.80 and 71,981.77 is: 107,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886.82 : 310,321.80 = 71,981.77 : x
  2. Step 2: Convert to fraction form
    206,886.82/310,321.80 = 71,981.77/x
  3. Step 3: Cross multiply
    206,886.82x = 310,321.80 × 71,981.77
  4. Step 4: Simplify right side
    206,886.82x = 22,337,512,433.59
  5. Step 5: Solve for x
    x = 22,337,512,433.59/206,886.82
  6. Step 6: Final answer
    x = 107,969.72

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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.