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Finding the Fourth Proportional to 149,592, 206,422.58 and 82,519.68

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Solution

The fourth proportional to 149,592, 206,422.58 and 82,519.68 is: 113,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,592 : 206,422.58 = 82,519.68 : x
  2. Step 2: Convert to fraction form
    149,592/206,422.58 = 82,519.68/x
  3. Step 3: Cross multiply
    149,592x = 206,422.58 × 82,519.68
  4. Step 4: Simplify right side
    149,592x = 17,033,925,246.37
  5. Step 5: Solve for x
    x = 17,033,925,246.37/149,592
  6. Step 6: Final answer
    x = 113,869.23

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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.