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Finding the Fourth Proportional to 205,149.60, 307,168.32 and 106,446.24

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Solution

The fourth proportional to 205,149.60, 307,168.32 and 106,446.24 is: 159,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.60 : 307,168.32 = 106,446.24 : x
  2. Step 2: Convert to fraction form
    205,149.60/307,168.32 = 106,446.24/x
  3. Step 3: Cross multiply
    205,149.60x = 307,168.32 × 106,446.24
  4. Step 4: Simplify right side
    205,149.60x = 32,696,912,711.12
  5. Step 5: Solve for x
    x = 32,696,912,711.12/205,149.60
  6. Step 6: Final answer
    x = 159,380.83

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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.