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Finding the Fourth Proportional to 147,394.29, 203,379.25 and 82,855

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Solution

The fourth proportional to 147,394.29, 203,379.25 and 82,855 is: 114,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,394.29 : 203,379.25 = 82,855 : x
  2. Step 2: Convert to fraction form
    147,394.29/203,379.25 = 82,855/x
  3. Step 3: Cross multiply
    147,394.29x = 203,379.25 × 82,855
  4. Step 4: Simplify right side
    147,394.29x = 16,850,987,758.75
  5. Step 5: Solve for x
    x = 16,850,987,758.75/147,394.29
  6. Step 6: Final answer
    x = 114,325.92

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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.