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Finding the Fourth Proportional to 149,397, 206,172.18 and 82,333.32

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Solution

The fourth proportional to 149,397, 206,172.18 and 82,333.32 is: 113,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,397 : 206,172.18 = 82,333.32 : x
  2. Step 2: Convert to fraction form
    149,397/206,172.18 = 82,333.32/x
  3. Step 3: Cross multiply
    149,397x = 206,172.18 × 82,333.32
  4. Step 4: Simplify right side
    149,397x = 16,974,840,071.04
  5. Step 5: Solve for x
    x = 16,974,840,071.04/149,397
  6. Step 6: Final answer
    x = 113,622.36

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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.