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Finding the Fourth Proportional to 133,728.90, 184,564.80 and 82,758.05

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Solution

The fourth proportional to 133,728.90, 184,564.80 and 82,758.05 is: 114,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728.90 : 184,564.80 = 82,758.05 : x
  2. Step 2: Convert to fraction form
    133,728.90/184,564.80 = 82,758.05/x
  3. Step 3: Cross multiply
    133,728.90x = 184,564.80 × 82,758.05
  4. Step 4: Simplify right side
    133,728.90x = 15,274,222,946.64
  5. Step 5: Solve for x
    x = 15,274,222,946.64/133,728.90
  6. Step 6: Final answer
    x = 114,217.82

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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.