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Finding the Fourth Proportional to 205,108.50, 307,808.55 and 80,449.50

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Solution

The fourth proportional to 205,108.50, 307,808.55 and 80,449.50 is: 120,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108.50 : 307,808.55 = 80,449.50 : x
  2. Step 2: Convert to fraction form
    205,108.50/307,808.55 = 80,449.50/x
  3. Step 3: Cross multiply
    205,108.50x = 307,808.55 × 80,449.50
  4. Step 4: Simplify right side
    205,108.50x = 24,763,043,943.23
  5. Step 5: Solve for x
    x = 24,763,043,943.23/205,108.50
  6. Step 6: Final answer
    x = 120,731.44

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1.5x scale

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.