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Finding the Fourth Proportional to 101,662.43, 140,205.74 and 76,226.00

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Solution

The fourth proportional to 101,662.43, 140,205.74 and 76,226.00 is: 105,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,662.43 : 140,205.74 = 76,226.00 : x
  2. Step 2: Convert to fraction form
    101,662.43/140,205.74 = 76,226.00/x
  3. Step 3: Cross multiply
    101,662.43x = 140,205.74 × 76,226.00
  4. Step 4: Simplify right side
    101,662.43x = 10,687,321,655.08
  5. Step 5: Solve for x
    x = 10,687,321,655.08/101,662.43
  6. Step 6: Final answer
    x = 105,125.58

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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.