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Finding the Fourth Proportional to 133,706.81, 200,493.44 and 43,737.78

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Solution

The fourth proportional to 133,706.81, 200,493.44 and 43,737.78 is: 65,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,706.81 : 200,493.44 = 43,737.78 : x
  2. Step 2: Convert to fraction form
    133,706.81/200,493.44 = 43,737.78/x
  3. Step 3: Cross multiply
    133,706.81x = 200,493.44 × 43,737.78
  4. Step 4: Simplify right side
    133,706.81x = 8,769,137,970.16
  5. Step 5: Solve for x
    x = 8,769,137,970.16/133,706.81
  6. Step 6: Final answer
    x = 65,584.83

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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.