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Finding the Fourth Proportional to 206,365.92, 309,548.88 and 136,228.80

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Solution

The fourth proportional to 206,365.92, 309,548.88 and 136,228.80 is: 204,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,365.92 : 309,548.88 = 136,228.80 : x
  2. Step 2: Convert to fraction form
    206,365.92/309,548.88 = 136,228.80/x
  3. Step 3: Cross multiply
    206,365.92x = 309,548.88 × 136,228.80
  4. Step 4: Simplify right side
    206,365.92x = 42,169,472,463.74
  5. Step 5: Solve for x
    x = 42,169,472,463.74/206,365.92
  6. Step 6: Final answer
    x = 204,343.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.