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Finding the Fourth Proportional to 223,168.63, 307,971.76 and 121,193.38

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Solution

The fourth proportional to 223,168.63, 307,971.76 and 121,193.38 is: 167,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,168.63 : 307,971.76 = 121,193.38 : x
  2. Step 2: Convert to fraction form
    223,168.63/307,971.76 = 121,193.38/x
  3. Step 3: Cross multiply
    223,168.63x = 307,971.76 × 121,193.38
  4. Step 4: Simplify right side
    223,168.63x = 37,324,138,538.95
  5. Step 5: Solve for x
    x = 37,324,138,538.95/223,168.63
  6. Step 6: Final answer
    x = 167,246.35

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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.