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Finding the Fourth Proportional to 206,784.72, 285,394.32 and 126,259.20

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Solution

The fourth proportional to 206,784.72, 285,394.32 and 126,259.20 is: 174,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784.72 : 285,394.32 = 126,259.20 : x
  2. Step 2: Convert to fraction form
    206,784.72/285,394.32 = 126,259.20/x
  3. Step 3: Cross multiply
    206,784.72x = 285,394.32 × 126,259.20
  4. Step 4: Simplify right side
    206,784.72x = 36,033,658,527.74
  5. Step 5: Solve for x
    x = 36,033,658,527.74/206,784.72
  6. Step 6: Final answer
    x = 174,256.87

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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.