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Finding the Fourth Proportional to 133,097.43, 199,327.87 and 76,766.77

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Solution

The fourth proportional to 133,097.43, 199,327.87 and 76,766.77 is: 114,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.43 : 199,327.87 = 76,766.77 : x
  2. Step 2: Convert to fraction form
    133,097.43/199,327.87 = 76,766.77/x
  3. Step 3: Cross multiply
    133,097.43x = 199,327.87 × 76,766.77
  4. Step 4: Simplify right side
    133,097.43x = 15,301,757,096.00
  5. Step 5: Solve for x
    x = 15,301,757,096.00/133,097.43
  6. Step 6: Final answer
    x = 114,966.58

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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.