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Finding the Fourth Proportional to 200,208.08, 300,102.91 and 66,978.74

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Solution

The fourth proportional to 200,208.08, 300,102.91 and 66,978.74 is: 100,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,208.08 : 300,102.91 = 66,978.74 : x
  2. Step 2: Convert to fraction form
    200,208.08/300,102.91 = 66,978.74/x
  3. Step 3: Cross multiply
    200,208.08x = 300,102.91 × 66,978.74
  4. Step 4: Simplify right side
    200,208.08x = 20,100,515,364.94
  5. Step 5: Solve for x
    x = 20,100,515,364.94/200,208.08
  6. Step 6: Final answer
    x = 100,398.12

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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.