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Finding the Fourth Proportional to 200,502.59, 300,732.69 and 105,694.79

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Solution

The fourth proportional to 200,502.59, 300,732.69 and 105,694.79 is: 158,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502.59 : 300,732.69 = 105,694.79 : x
  2. Step 2: Convert to fraction form
    200,502.59/300,732.69 = 105,694.79/x
  3. Step 3: Cross multiply
    200,502.59x = 300,732.69 × 105,694.79
  4. Step 4: Simplify right side
    200,502.59x = 31,785,878,515.69
  5. Step 5: Solve for x
    x = 31,785,878,515.69/200,502.59
  6. Step 6: Final answer
    x = 158,531.01

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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.