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Finding the Fourth Proportional to 133,116.89, 199,356.84 and 76,839.90

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Solution

The fourth proportional to 133,116.89, 199,356.84 and 76,839.90 is: 115,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,116.89 : 199,356.84 = 76,839.90 : x
  2. Step 2: Convert to fraction form
    133,116.89/199,356.84 = 76,839.90/x
  3. Step 3: Cross multiply
    133,116.89x = 199,356.84 × 76,839.90
  4. Step 4: Simplify right side
    133,116.89x = 15,318,559,649.92
  5. Step 5: Solve for x
    x = 15,318,559,649.92/133,116.89
  6. Step 6: Final answer
    x = 115,076.01

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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.