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Finding the Fourth Proportional to 200,642.90, 300,976.61 and 67,511.98

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Solution

The fourth proportional to 200,642.90, 300,976.61 and 67,511.98 is: 101,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.90 : 300,976.61 = 67,511.98 : x
  2. Step 2: Convert to fraction form
    200,642.90/300,976.61 = 67,511.98/x
  3. Step 3: Cross multiply
    200,642.90x = 300,976.61 × 67,511.98
  4. Step 4: Simplify right side
    200,642.90x = 20,319,526,874.79
  5. Step 5: Solve for x
    x = 20,319,526,874.79/200,642.90
  6. Step 6: Final answer
    x = 101,272.10

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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.