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Finding the Fourth Proportional to 149,912.40, 206,878.98 and 82,844.40

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Solution

The fourth proportional to 149,912.40, 206,878.98 and 82,844.40 is: 114,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,912.40 : 206,878.98 = 82,844.40 : x
  2. Step 2: Convert to fraction form
    149,912.40/206,878.98 = 82,844.40/x
  3. Step 3: Cross multiply
    149,912.40x = 206,878.98 × 82,844.40
  4. Step 4: Simplify right side
    149,912.40x = 17,138,764,970.71
  5. Step 5: Solve for x
    x = 17,138,764,970.71/149,912.40
  6. Step 6: Final answer
    x = 114,325.20

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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.