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Finding the Fourth Proportional to 100,141.56, 138,048.12 and 76,226.58

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Solution

The fourth proportional to 100,141.56, 138,048.12 and 76,226.58 is: 105,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.56 : 138,048.12 = 76,226.58 : x
  2. Step 2: Convert to fraction form
    100,141.56/138,048.12 = 76,226.58/x
  3. Step 3: Cross multiply
    100,141.56x = 138,048.12 × 76,226.58
  4. Step 4: Simplify right side
    100,141.56x = 10,522,936,063.03
  5. Step 5: Solve for x
    x = 10,522,936,063.03/100,141.56
  6. Step 6: Final answer
    x = 105,080.61

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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.