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Finding the Fourth Proportional to 119,165.33, 164,379.49 and 71,391

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Solution

The fourth proportional to 119,165.33, 164,379.49 and 71,391 is: 98,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.33 : 164,379.49 = 71,391 : x
  2. Step 2: Convert to fraction form
    119,165.33/164,379.49 = 71,391/x
  3. Step 3: Cross multiply
    119,165.33x = 164,379.49 × 71,391
  4. Step 4: Simplify right side
    119,165.33x = 11,735,215,813.64
  5. Step 5: Solve for x
    x = 11,735,215,813.64/119,165.33
  6. Step 6: Final answer
    x = 98,478.44

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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.