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Finding the Fourth Proportional to 133,977.86, 200,861.54 and 91,730.14

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Solution

The fourth proportional to 133,977.86, 200,861.54 and 91,730.14 is: 137,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977.86 : 200,861.54 = 91,730.14 : x
  2. Step 2: Convert to fraction form
    133,977.86/200,861.54 = 91,730.14/x
  3. Step 3: Cross multiply
    133,977.86x = 200,861.54 × 91,730.14
  4. Step 4: Simplify right side
    133,977.86x = 18,425,057,525.85
  5. Step 5: Solve for x
    x = 18,425,057,525.85/133,977.86
  6. Step 6: Final answer
    x = 137,523.15

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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.