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Finding the Fourth Proportional to 200,639.94, 300,640.02 and 105,866.29

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Solution

The fourth proportional to 200,639.94, 300,640.02 and 105,866.29 is: 158,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,639.94 : 300,640.02 = 105,866.29 : x
  2. Step 2: Convert to fraction form
    200,639.94/300,640.02 = 105,866.29/x
  3. Step 3: Cross multiply
    200,639.94x = 300,640.02 × 105,866.29
  4. Step 4: Simplify right side
    200,639.94x = 31,827,643,542.93
  5. Step 5: Solve for x
    x = 31,827,643,542.93/200,639.94
  6. Step 6: Final answer
    x = 158,630.65

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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.