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Finding the Fourth Proportional to 133,861.64, 200,727.81 and 77,715.88

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Solution

The fourth proportional to 133,861.64, 200,727.81 and 77,715.88 is: 116,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,861.64 : 200,727.81 = 77,715.88 : x
  2. Step 2: Convert to fraction form
    133,861.64/200,727.81 = 77,715.88/x
  3. Step 3: Cross multiply
    133,861.64x = 200,727.81 × 77,715.88
  4. Step 4: Simplify right side
    133,861.64x = 15,599,737,892.80
  5. Step 5: Solve for x
    x = 15,599,737,892.80/133,861.64
  6. Step 6: Final answer
    x = 116,536.29

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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.