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Finding the Fourth Proportional to 133,086.10, 199,629.15 and 120,838.90

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Solution

The fourth proportional to 133,086.10, 199,629.15 and 120,838.90 is: 181,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086.10 : 199,629.15 = 120,838.90 : x
  2. Step 2: Convert to fraction form
    133,086.10/199,629.15 = 120,838.90/x
  3. Step 3: Cross multiply
    133,086.10x = 199,629.15 × 120,838.90
  4. Step 4: Simplify right side
    133,086.10x = 24,122,966,893.94
  5. Step 5: Solve for x
    x = 24,122,966,893.94/133,086.10
  6. Step 6: Final answer
    x = 181,258.35

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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.