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Finding the Fourth Proportional to 133,769.86, 200,638.38 and 77,640.50

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Solution

The fourth proportional to 133,769.86, 200,638.38 and 77,640.50 is: 116,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,769.86 : 200,638.38 = 77,640.50 : x
  2. Step 2: Convert to fraction form
    133,769.86/200,638.38 = 77,640.50/x
  3. Step 3: Cross multiply
    133,769.86x = 200,638.38 × 77,640.50
  4. Step 4: Simplify right side
    133,769.86x = 15,577,664,142.39
  5. Step 5: Solve for x
    x = 15,577,664,142.39/133,769.86
  6. Step 6: Final answer
    x = 116,451.23

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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.