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Finding the Fourth Proportional to 200,874.58, 301,434.87 and 80,909.53

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Solution

The fourth proportional to 200,874.58, 301,434.87 and 80,909.53 is: 121,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874.58 : 301,434.87 = 80,909.53 : x
  2. Step 2: Convert to fraction form
    200,874.58/301,434.87 = 80,909.53/x
  3. Step 3: Cross multiply
    200,874.58x = 301,434.87 × 80,909.53
  4. Step 4: Simplify right side
    200,874.58x = 24,388,953,657.31
  5. Step 5: Solve for x
    x = 24,388,953,657.31/200,874.58
  6. Step 6: Final answer
    x = 121,413.84

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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.