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Finding the Fourth Proportional to 149,460, 206,259.12 and 82,396.32

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Solution

The fourth proportional to 149,460, 206,259.12 and 82,396.32 is: 113,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,460 : 206,259.12 = 82,396.32 : x
  2. Step 2: Convert to fraction form
    149,460/206,259.12 = 82,396.32/x
  3. Step 3: Cross multiply
    149,460x = 206,259.12 × 82,396.32
  4. Step 4: Simplify right side
    149,460x = 16,994,992,454.44
  5. Step 5: Solve for x
    x = 16,994,992,454.44/149,460
  6. Step 6: Final answer
    x = 113,709.30

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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.