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Finding the Fourth Proportional to 137,571.24, 206,415.24 and 75,168.84

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Solution

The fourth proportional to 137,571.24, 206,415.24 and 75,168.84 is: 112,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,571.24 : 206,415.24 = 75,168.84 : x
  2. Step 2: Convert to fraction form
    137,571.24/206,415.24 = 75,168.84/x
  3. Step 3: Cross multiply
    137,571.24x = 206,415.24 × 75,168.84
  4. Step 4: Simplify right side
    137,571.24x = 15,515,994,149.12
  5. Step 5: Solve for x
    x = 15,515,994,149.12/137,571.24
  6. Step 6: Final answer
    x = 112,785.16

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1.5x scale

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.