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Finding the Fourth Proportional to 133,035.12, 199,590 and 54,205.92

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Solution

The fourth proportional to 133,035.12, 199,590 and 54,205.92 is: 81,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035.12 : 199,590 = 54,205.92 : x
  2. Step 2: Convert to fraction form
    133,035.12/199,590 = 54,205.92/x
  3. Step 3: Cross multiply
    133,035.12x = 199,590 × 54,205.92
  4. Step 4: Simplify right side
    133,035.12x = 10,818,959,572.80
  5. Step 5: Solve for x
    x = 10,818,959,572.80/133,035.12
  6. Step 6: Final answer
    x = 81,324.09

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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.