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Finding the Fourth Proportional to 207,107.76, 310,722.12 and 82,467.12

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Solution

The fourth proportional to 207,107.76, 310,722.12 and 82,467.12 is: 123,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,107.76 : 310,722.12 = 82,467.12 : x
  2. Step 2: Convert to fraction form
    207,107.76/310,722.12 = 82,467.12/x
  3. Step 3: Cross multiply
    207,107.76x = 310,722.12 × 82,467.12
  4. Step 4: Simplify right side
    207,107.76x = 25,624,358,356.69
  5. Step 5: Solve for x
    x = 25,624,358,356.69/207,107.76
  6. Step 6: Final answer
    x = 123,724.76

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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.