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Finding the Fourth Proportional to 133,086.30, 199,629.45 and 54,257.10

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Solution

The fourth proportional to 133,086.30, 199,629.45 and 54,257.10 is: 81,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086.30 : 199,629.45 = 54,257.10 : x
  2. Step 2: Convert to fraction form
    133,086.30/199,629.45 = 54,257.10/x
  3. Step 3: Cross multiply
    133,086.30x = 199,629.45 × 54,257.10
  4. Step 4: Simplify right side
    133,086.30x = 10,831,315,031.60
  5. Step 5: Solve for x
    x = 10,831,315,031.60/133,086.30
  6. Step 6: Final answer
    x = 81,385.65

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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.