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Finding the Fourth Proportional to 206,809.29, 285,417.72 and 126,283.95

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Solution

The fourth proportional to 206,809.29, 285,417.72 and 126,283.95 is: 174,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.29 : 285,417.72 = 126,283.95 : x
  2. Step 2: Convert to fraction form
    206,809.29/285,417.72 = 126,283.95/x
  3. Step 3: Cross multiply
    206,809.29x = 285,417.72 × 126,283.95
  4. Step 4: Simplify right side
    206,809.29x = 36,043,677,081.59
  5. Step 5: Solve for x
    x = 36,043,677,081.59/206,809.29
  6. Step 6: Final answer
    x = 174,284.61

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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.