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Finding the Fourth Proportional to 105,566.20, 158,057.70 and 82,238.20

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Solution

The fourth proportional to 105,566.20, 158,057.70 and 82,238.20 is: 123,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,566.20 : 158,057.70 = 82,238.20 : x
  2. Step 2: Convert to fraction form
    105,566.20/158,057.70 = 82,238.20/x
  3. Step 3: Cross multiply
    105,566.20x = 158,057.70 × 82,238.20
  4. Step 4: Simplify right side
    105,566.20x = 12,998,380,744.14
  5. Step 5: Solve for x
    x = 12,998,380,744.14/105,566.20
  6. Step 6: Final answer
    x = 123,130.14

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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.