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Finding the Fourth Proportional to 133,813.89, 200,721.18 and 45,129.69

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Solution

The fourth proportional to 133,813.89, 200,721.18 and 45,129.69 is: 67,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813.89 : 200,721.18 = 45,129.69 : x
  2. Step 2: Convert to fraction form
    133,813.89/200,721.18 = 45,129.69/x
  3. Step 3: Cross multiply
    133,813.89x = 200,721.18 × 45,129.69
  4. Step 4: Simplify right side
    133,813.89x = 9,058,484,629.83
  5. Step 5: Solve for x
    x = 9,058,484,629.83/133,813.89
  6. Step 6: Final answer
    x = 67,694.65

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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.