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Finding the Fourth Proportional to 206,784.98, 310,176.33 and 80,513.07

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Solution

The fourth proportional to 206,784.98, 310,176.33 and 80,513.07 is: 120,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784.98 : 310,176.33 = 80,513.07 : x
  2. Step 2: Convert to fraction form
    206,784.98/310,176.33 = 80,513.07/x
  3. Step 3: Cross multiply
    206,784.98x = 310,176.33 × 80,513.07
  4. Step 4: Simplify right side
    206,784.98x = 24,973,247,018.75
  5. Step 5: Solve for x
    x = 24,973,247,018.75/206,784.98
  6. Step 6: Final answer
    x = 120,769.15

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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.