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Finding the Fourth Proportional to 133,960.10, 200,648.55 and 81,277.70

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Solution

The fourth proportional to 133,960.10, 200,648.55 and 81,277.70 is: 121,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.10 : 200,648.55 = 81,277.70 : x
  2. Step 2: Convert to fraction form
    133,960.10/200,648.55 = 81,277.70/x
  3. Step 3: Cross multiply
    133,960.10x = 200,648.55 × 81,277.70
  4. Step 4: Simplify right side
    133,960.10x = 16,308,252,652.34
  5. Step 5: Solve for x
    x = 16,308,252,652.34/133,960.10
  6. Step 6: Final answer
    x = 121,739.63

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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.