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Finding the Fourth Proportional to 149,388.08, 206,154.44 and 82,320.08

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Solution

The fourth proportional to 149,388.08, 206,154.44 and 82,320.08 is: 113,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,388.08 : 206,154.44 = 82,320.08 : x
  2. Step 2: Convert to fraction form
    149,388.08/206,154.44 = 82,320.08/x
  3. Step 3: Cross multiply
    149,388.08x = 206,154.44 × 82,320.08
  4. Step 4: Simplify right side
    149,388.08x = 16,970,649,993.16
  5. Step 5: Solve for x
    x = 16,970,649,993.16/149,388.08
  6. Step 6: Final answer
    x = 113,601.10

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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.