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Finding the Fourth Proportional to 206,973.39, 310,400.01 and 80,585.40

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Solution

The fourth proportional to 206,973.39, 310,400.01 and 80,585.40 is: 120,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,973.39 : 310,400.01 = 80,585.40 : x
  2. Step 2: Convert to fraction form
    206,973.39/310,400.01 = 80,585.40/x
  3. Step 3: Cross multiply
    206,973.39x = 310,400.01 × 80,585.40
  4. Step 4: Simplify right side
    206,973.39x = 25,013,708,965.85
  5. Step 5: Solve for x
    x = 25,013,708,965.85/206,973.39
  6. Step 6: Final answer
    x = 120,854.71

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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.