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Finding the Fourth Proportional to 224,518.56, 309,830.88 and 122,540.64

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Solution

The fourth proportional to 224,518.56, 309,830.88 and 122,540.64 is: 169,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,518.56 : 309,830.88 = 122,540.64 : x
  2. Step 2: Convert to fraction form
    224,518.56/309,830.88 = 122,540.64/x
  3. Step 3: Cross multiply
    224,518.56x = 309,830.88 × 122,540.64
  4. Step 4: Simplify right side
    224,518.56x = 37,966,874,326.96
  5. Step 5: Solve for x
    x = 37,966,874,326.96/224,518.56
  6. Step 6: Final answer
    x = 169,103.50

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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.