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Finding the Fourth Proportional to 223,618.50, 308,599.14 and 121,649.70

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Solution

The fourth proportional to 223,618.50, 308,599.14 and 121,649.70 is: 167,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,618.50 : 308,599.14 = 121,649.70 : x
  2. Step 2: Convert to fraction form
    223,618.50/308,599.14 = 121,649.70/x
  3. Step 3: Cross multiply
    223,618.50x = 308,599.14 × 121,649.70
  4. Step 4: Simplify right side
    223,618.50x = 37,540,992,801.26
  5. Step 5: Solve for x
    x = 37,540,992,801.26/223,618.50
  6. Step 6: Final answer
    x = 167,879.64

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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.