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Finding the Fourth Proportional to 131,880.94, 197,738.18 and 72,757.82

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Solution

The fourth proportional to 131,880.94, 197,738.18 and 72,757.82 is: 109,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,880.94 : 197,738.18 = 72,757.82 : x
  2. Step 2: Convert to fraction form
    131,880.94/197,738.18 = 72,757.82/x
  3. Step 3: Cross multiply
    131,880.94x = 197,738.18 × 72,757.82
  4. Step 4: Simplify right side
    131,880.94x = 14,386,998,907.57
  5. Step 5: Solve for x
    x = 14,386,998,907.57/131,880.94
  6. Step 6: Final answer
    x = 109,090.81

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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.