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Finding the Fourth Proportional to 208,873, 288,244.74 and 119,449

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Solution

The fourth proportional to 208,873, 288,244.74 and 119,449 is: 164,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,873 : 288,244.74 = 119,449 : x
  2. Step 2: Convert to fraction form
    208,873/288,244.74 = 119,449/x
  3. Step 3: Cross multiply
    208,873x = 288,244.74 × 119,449
  4. Step 4: Simplify right side
    208,873x = 34,430,545,948.26
  5. Step 5: Solve for x
    x = 34,430,545,948.26/208,873
  6. Step 6: Final answer
    x = 164,839.62

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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.