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Finding the Fourth Proportional to 223,810.89, 308,859.02 and 121,837.09

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Solution

The fourth proportional to 223,810.89, 308,859.02 and 121,837.09 is: 168,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,810.89 : 308,859.02 = 121,837.09 : x
  2. Step 2: Convert to fraction form
    223,810.89/308,859.02 = 121,837.09/x
  3. Step 3: Cross multiply
    223,810.89x = 308,859.02 × 121,837.09
  4. Step 4: Simplify right side
    223,810.89x = 37,630,484,217.05
  5. Step 5: Solve for x
    x = 37,630,484,217.05/223,810.89
  6. Step 6: Final answer
    x = 168,135.18

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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.