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Finding the Fourth Proportional to 206,746.45, 285,354.57 and 126,156.73

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Solution

The fourth proportional to 206,746.45, 285,354.57 and 126,156.73 is: 174,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.45 : 285,354.57 = 126,156.73 : x
  2. Step 2: Convert to fraction form
    206,746.45/285,354.57 = 126,156.73/x
  3. Step 3: Cross multiply
    206,746.45x = 285,354.57 × 126,156.73
  4. Step 4: Simplify right side
    206,746.45x = 35,999,399,441.76
  5. Step 5: Solve for x
    x = 35,999,399,441.76/206,746.45
  6. Step 6: Final answer
    x = 174,123.42

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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.