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Finding the Fourth Proportional to 223,115.88, 307,902.56 and 121,142.56

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Solution

The fourth proportional to 223,115.88, 307,902.56 and 121,142.56 is: 167,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115.88 : 307,902.56 = 121,142.56 : x
  2. Step 2: Convert to fraction form
    223,115.88/307,902.56 = 121,142.56/x
  3. Step 3: Cross multiply
    223,115.88x = 307,902.56 × 121,142.56
  4. Step 4: Simplify right side
    223,115.88x = 37,300,104,348.95
  5. Step 5: Solve for x
    x = 37,300,104,348.95/223,115.88
  6. Step 6: Final answer
    x = 167,178.17

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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.