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Finding the Fourth Proportional to 133,213.30, 183,832.20 and 72,782.64

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Solution

The fourth proportional to 133,213.30, 183,832.20 and 72,782.64 is: 100,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.30 : 183,832.20 = 72,782.64 : x
  2. Step 2: Convert to fraction form
    133,213.30/183,832.20 = 72,782.64/x
  3. Step 3: Cross multiply
    133,213.30x = 183,832.20 × 72,782.64
  4. Step 4: Simplify right side
    133,213.30x = 13,379,792,833.01
  5. Step 5: Solve for x
    x = 13,379,792,833.01/133,213.30
  6. Step 6: Final answer
    x = 100,438.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.