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Finding the Fourth Proportional to 206,859.84, 285,497.40 and 126,333.68

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Solution

The fourth proportional to 206,859.84, 285,497.40 and 126,333.68 is: 174,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.84 : 285,497.40 = 126,333.68 : x
  2. Step 2: Convert to fraction form
    206,859.84/285,497.40 = 126,333.68/x
  3. Step 3: Cross multiply
    206,859.84x = 285,497.40 × 126,333.68
  4. Step 4: Simplify right side
    206,859.84x = 36,067,937,172.43
  5. Step 5: Solve for x
    x = 36,067,937,172.43/206,859.84
  6. Step 6: Final answer
    x = 174,359.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.