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Finding the Fourth Proportional to 206,776.80, 310,167.12 and 57,019.68

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Solution

The fourth proportional to 206,776.80, 310,167.12 and 57,019.68 is: 85,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,776.80 : 310,167.12 = 57,019.68 : x
  2. Step 2: Convert to fraction form
    206,776.80/310,167.12 = 57,019.68/x
  3. Step 3: Cross multiply
    206,776.80x = 310,167.12 × 57,019.68
  4. Step 4: Simplify right side
    206,776.80x = 17,685,629,928.92
  5. Step 5: Solve for x
    x = 17,685,629,928.92/206,776.80
  6. Step 6: Final answer
    x = 85,530.05

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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.