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Finding the Fourth Proportional to 133,908.31, 200,786.35 and 103,502.69

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Solution

The fourth proportional to 133,908.31, 200,786.35 and 103,502.69 is: 155,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,908.31 : 200,786.35 = 103,502.69 : x
  2. Step 2: Convert to fraction form
    133,908.31/200,786.35 = 103,502.69/x
  3. Step 3: Cross multiply
    133,908.31x = 200,786.35 × 103,502.69
  4. Step 4: Simplify right side
    133,908.31x = 20,781,927,340.28
  5. Step 5: Solve for x
    x = 20,781,927,340.28/133,908.31
  6. Step 6: Final answer
    x = 155,195.20

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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.