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Finding the Fourth Proportional to 223,245, 308,078.22 and 122,649.48

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Solution

The fourth proportional to 223,245, 308,078.22 and 122,649.48 is: 169,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,245 : 308,078.22 = 122,649.48 : x
  2. Step 2: Convert to fraction form
    223,245/308,078.22 = 122,649.48/x
  3. Step 3: Cross multiply
    223,245x = 308,078.22 × 122,649.48
  4. Step 4: Simplify right side
    223,245x = 37,785,633,482.33
  5. Step 5: Solve for x
    x = 37,785,633,482.33/223,245
  6. Step 6: Final answer
    x = 169,256.35

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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.