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Finding the Fourth Proportional to 149,083.52, 205,745.28 and 82,019.84

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Solution

The fourth proportional to 149,083.52, 205,745.28 and 82,019.84 is: 113,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,083.52 : 205,745.28 = 82,019.84 : x
  2. Step 2: Convert to fraction form
    149,083.52/205,745.28 = 82,019.84/x
  3. Step 3: Cross multiply
    149,083.52x = 205,745.28 × 82,019.84
  4. Step 4: Simplify right side
    149,083.52x = 16,875,194,946.36
  5. Step 5: Solve for x
    x = 16,875,194,946.36/149,083.52
  6. Step 6: Final answer
    x = 113,192.89

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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.