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Finding the Fourth Proportional to 206,985.84, 310,486.05 and 80,635.56

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Solution

The fourth proportional to 206,985.84, 310,486.05 and 80,635.56 is: 120,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985.84 : 310,486.05 = 80,635.56 : x
  2. Step 2: Convert to fraction form
    206,985.84/310,486.05 = 80,635.56/x
  3. Step 3: Cross multiply
    206,985.84x = 310,486.05 × 80,635.56
  4. Step 4: Simplify right side
    206,985.84x = 25,036,216,513.94
  5. Step 5: Solve for x
    x = 25,036,216,513.94/206,985.84
  6. Step 6: Final answer
    x = 120,956.18

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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.