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Finding the Fourth Proportional to 150,712.12, 207,984.87 and 82,727.85

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Solution

The fourth proportional to 150,712.12, 207,984.87 and 82,727.85 is: 114,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,712.12 : 207,984.87 = 82,727.85 : x
  2. Step 2: Convert to fraction form
    150,712.12/207,984.87 = 82,727.85/x
  3. Step 3: Cross multiply
    150,712.12x = 207,984.87 × 82,727.85
  4. Step 4: Simplify right side
    150,712.12x = 17,206,141,127.63
  5. Step 5: Solve for x
    x = 17,206,141,127.63/150,712.12
  6. Step 6: Final answer
    x = 114,165.61

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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.