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Finding the Fourth Proportional to 109,107.89, 150,393.34 and 81,467.86

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Solution

The fourth proportional to 109,107.89, 150,393.34 and 81,467.86 is: 112,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,107.89 : 150,393.34 = 81,467.86 : x
  2. Step 2: Convert to fraction form
    109,107.89/150,393.34 = 81,467.86/x
  3. Step 3: Cross multiply
    109,107.89x = 150,393.34 × 81,467.86
  4. Step 4: Simplify right side
    109,107.89x = 12,252,223,568.05
  5. Step 5: Solve for x
    x = 12,252,223,568.05/109,107.89
  6. Step 6: Final answer
    x = 112,294.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.