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Finding the Fourth Proportional to 200,740.71, 300,791.52 and 105,967.47

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Solution

The fourth proportional to 200,740.71, 300,791.52 and 105,967.47 is: 158,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.71 : 300,791.52 = 105,967.47 : x
  2. Step 2: Convert to fraction form
    200,740.71/300,791.52 = 105,967.47/x
  3. Step 3: Cross multiply
    200,740.71x = 300,791.52 × 105,967.47
  4. Step 4: Simplify right side
    200,740.71x = 31,874,116,371.85
  5. Step 5: Solve for x
    x = 31,874,116,371.85/200,740.71
  6. Step 6: Final answer
    x = 158,782.52

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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.