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Finding the Fourth Proportional to 200,643.90, 300,978.11 and 67,512.98

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Solution

The fourth proportional to 200,643.90, 300,978.11 and 67,512.98 is: 101,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643.90 : 300,978.11 = 67,512.98 : x
  2. Step 2: Convert to fraction form
    200,643.90/300,978.11 = 67,512.98/x
  3. Step 3: Cross multiply
    200,643.90x = 300,978.11 × 67,512.98
  4. Step 4: Simplify right side
    200,643.90x = 20,319,929,120.87
  5. Step 5: Solve for x
    x = 20,319,929,120.87/200,643.90
  6. Step 6: Final answer
    x = 101,273.60

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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.