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Finding the Fourth Proportional to 222,314.78, 306,794.40 and 121,712.78

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Solution

The fourth proportional to 222,314.78, 306,794.40 and 121,712.78 is: 167,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,314.78 : 306,794.40 = 121,712.78 : x
  2. Step 2: Convert to fraction form
    222,314.78/306,794.40 = 121,712.78/x
  3. Step 3: Cross multiply
    222,314.78x = 306,794.40 × 121,712.78
  4. Step 4: Simplify right side
    222,314.78x = 37,340,799,312.43
  5. Step 5: Solve for x
    x = 37,340,799,312.43/222,314.78
  6. Step 6: Final answer
    x = 167,963.64

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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.