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Finding the Fourth Proportional to 133,102.17, 199,046.84 and 99,391.86

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Solution

The fourth proportional to 133,102.17, 199,046.84 and 99,391.86 is: 148,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102.17 : 199,046.84 = 99,391.86 : x
  2. Step 2: Convert to fraction form
    133,102.17/199,046.84 = 99,391.86/x
  3. Step 3: Cross multiply
    133,102.17x = 199,046.84 × 99,391.86
  4. Step 4: Simplify right side
    133,102.17x = 19,783,635,157.76
  5. Step 5: Solve for x
    x = 19,783,635,157.76/133,102.17
  6. Step 6: Final answer
    x = 148,634.96

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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.