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Finding the Fourth Proportional to 206,828.80, 285,454.64 and 126,303

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Solution

The fourth proportional to 206,828.80, 285,454.64 and 126,303 is: 174,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.80 : 285,454.64 = 126,303 : x
  2. Step 2: Convert to fraction form
    206,828.80/285,454.64 = 126,303/x
  3. Step 3: Cross multiply
    206,828.80x = 285,454.64 × 126,303
  4. Step 4: Simplify right side
    206,828.80x = 36,053,777,395.92
  5. Step 5: Solve for x
    x = 36,053,777,395.92/206,828.80
  6. Step 6: Final answer
    x = 174,317.01

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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.