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Finding the Fourth Proportional to 203,834.80, 306,043.80 and 144,931.60

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Solution

The fourth proportional to 203,834.80, 306,043.80 and 144,931.60 is: 217,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,834.80 : 306,043.80 = 144,931.60 : x
  2. Step 2: Convert to fraction form
    203,834.80/306,043.80 = 144,931.60/x
  3. Step 3: Cross multiply
    203,834.80x = 306,043.80 × 144,931.60
  4. Step 4: Simplify right side
    203,834.80x = 44,355,417,604.08
  5. Step 5: Solve for x
    x = 44,355,417,604.08/203,834.80
  6. Step 6: Final answer
    x = 217,604.73

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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.