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Finding the Fourth Proportional to 205,415.40, 308,151.90 and 80,727.40

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Solution

The fourth proportional to 205,415.40, 308,151.90 and 80,727.40 is: 121,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.40 : 308,151.90 = 80,727.40 : x
  2. Step 2: Convert to fraction form
    205,415.40/308,151.90 = 80,727.40/x
  3. Step 3: Cross multiply
    205,415.40x = 308,151.90 × 80,727.40
  4. Step 4: Simplify right side
    205,415.40x = 24,876,301,692.06
  5. Step 5: Solve for x
    x = 24,876,301,692.06/205,415.40
  6. Step 6: Final answer
    x = 121,102.42

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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.