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Finding the Fourth Proportional to 206,169.50, 309,302.64 and 64,007.51

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Solution

The fourth proportional to 206,169.50, 309,302.64 and 64,007.51 is: 96,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169.50 : 309,302.64 = 64,007.51 : x
  2. Step 2: Convert to fraction form
    206,169.50/309,302.64 = 64,007.51/x
  3. Step 3: Cross multiply
    206,169.50x = 309,302.64 × 64,007.51
  4. Step 4: Simplify right side
    206,169.50x = 19,797,690,276.31
  5. Step 5: Solve for x
    x = 19,797,690,276.31/206,169.50
  6. Step 6: Final answer
    x = 96,026.28

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1.5x scale

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.