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Finding the Fourth Proportional to 149,538.54, 206,362.44 and 82,470.54

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Solution

The fourth proportional to 149,538.54, 206,362.44 and 82,470.54 is: 113,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,538.54 : 206,362.44 = 82,470.54 : x
  2. Step 2: Convert to fraction form
    149,538.54/206,362.44 = 82,470.54/x
  3. Step 3: Cross multiply
    149,538.54x = 206,362.44 × 82,470.54
  4. Step 4: Simplify right side
    149,538.54x = 17,018,821,862.52
  5. Step 5: Solve for x
    x = 17,018,821,862.52/149,538.54
  6. Step 6: Final answer
    x = 113,808.93

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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.