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Finding the Fourth Proportional to 150,932.49, 208,067.43 and 105,469.32

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Solution

The fourth proportional to 150,932.49, 208,067.43 and 105,469.32 is: 145,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,932.49 : 208,067.43 = 105,469.32 : x
  2. Step 2: Convert to fraction form
    150,932.49/208,067.43 = 105,469.32/x
  3. Step 3: Cross multiply
    150,932.49x = 208,067.43 × 105,469.32
  4. Step 4: Simplify right side
    150,932.49x = 21,944,730,356.25
  5. Step 5: Solve for x
    x = 21,944,730,356.25/150,932.49
  6. Step 6: Final answer
    x = 145,394.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.