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Finding the Fourth Proportional to 133,213.60, 183,832.59 and 72,782.94

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Solution

The fourth proportional to 133,213.60, 183,832.59 and 72,782.94 is: 100,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,213.60 : 183,832.59 = 72,782.94 : x
  2. Step 2: Convert to fraction form
    133,213.60/183,832.59 = 72,782.94/x
  3. Step 3: Cross multiply
    133,213.60x = 183,832.59 × 72,782.94
  4. Step 4: Simplify right side
    133,213.60x = 13,379,876,368.01
  5. Step 5: Solve for x
    x = 13,379,876,368.01/133,213.60
  6. Step 6: Final answer
    x = 100,439.27

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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.