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Finding the Fourth Proportional to 212,894.88, 293,821.56 and 122,279.20

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Solution

The fourth proportional to 212,894.88, 293,821.56 and 122,279.20 is: 168,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894.88 : 293,821.56 = 122,279.20 : x
  2. Step 2: Convert to fraction form
    212,894.88/293,821.56 = 122,279.20/x
  3. Step 3: Cross multiply
    212,894.88x = 293,821.56 × 122,279.20
  4. Step 4: Simplify right side
    212,894.88x = 35,928,265,299.55
  5. Step 5: Solve for x
    x = 35,928,265,299.55/212,894.88
  6. Step 6: Final answer
    x = 168,760.59

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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.