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Finding the Fourth Proportional to 136,046.70, 204,102.45 and 57,120.30

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Solution

The fourth proportional to 136,046.70, 204,102.45 and 57,120.30 is: 85,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,046.70 : 204,102.45 = 57,120.30 : x
  2. Step 2: Convert to fraction form
    136,046.70/204,102.45 = 57,120.30/x
  3. Step 3: Cross multiply
    136,046.70x = 204,102.45 × 57,120.30
  4. Step 4: Simplify right side
    136,046.70x = 11,658,393,174.74
  5. Step 5: Solve for x
    x = 11,658,393,174.74/136,046.70
  6. Step 6: Final answer
    x = 85,694.05

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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.