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Finding the Fourth Proportional to 200,005.48, 299,976.90 and 66,884.68

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Solution

The fourth proportional to 200,005.48, 299,976.90 and 66,884.68 is: 100,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,005.48 : 299,976.90 = 66,884.68 : x
  2. Step 2: Convert to fraction form
    200,005.48/299,976.90 = 66,884.68/x
  3. Step 3: Cross multiply
    200,005.48x = 299,976.90 × 66,884.68
  4. Step 4: Simplify right side
    200,005.48x = 20,063,858,963.89
  5. Step 5: Solve for x
    x = 20,063,858,963.89/200,005.48
  6. Step 6: Final answer
    x = 100,316.55

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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.