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Finding the Fourth Proportional to 207,149.40, 310,724.10 and 82,426.20

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Solution

The fourth proportional to 207,149.40, 310,724.10 and 82,426.20 is: 123,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,149.40 : 310,724.10 = 82,426.20 : x
  2. Step 2: Convert to fraction form
    207,149.40/310,724.10 = 82,426.20/x
  3. Step 3: Cross multiply
    207,149.40x = 310,724.10 × 82,426.20
  4. Step 4: Simplify right side
    207,149.40x = 25,611,806,811.42
  5. Step 5: Solve for x
    x = 25,611,806,811.42/207,149.40
  6. Step 6: Final answer
    x = 123,639.30

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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.