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Finding the Fourth Proportional to 133,404.57, 199,934.87 and 99,861.93

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Solution

The fourth proportional to 133,404.57, 199,934.87 and 99,861.93 is: 149,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,404.57 : 199,934.87 = 99,861.93 : x
  2. Step 2: Convert to fraction form
    133,404.57/199,934.87 = 99,861.93/x
  3. Step 3: Cross multiply
    133,404.57x = 199,934.87 × 99,861.93
  4. Step 4: Simplify right side
    133,404.57x = 19,965,881,493.19
  5. Step 5: Solve for x
    x = 19,965,881,493.19/133,404.57
  6. Step 6: Final answer
    x = 149,664.15

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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.