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Finding the Fourth Proportional to 206,967.35, 310,391.06 and 80,579.40

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Solution

The fourth proportional to 206,967.35, 310,391.06 and 80,579.40 is: 120,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.35 : 310,391.06 = 80,579.40 : x
  2. Step 2: Convert to fraction form
    206,967.35/310,391.06 = 80,579.40/x
  3. Step 3: Cross multiply
    206,967.35x = 310,391.06 × 80,579.40
  4. Step 4: Simplify right side
    206,967.35x = 25,011,124,977.27
  5. Step 5: Solve for x
    x = 25,011,124,977.27/206,967.35
  6. Step 6: Final answer
    x = 120,845.75

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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.