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Finding the Fourth Proportional to 223,956.80, 309,055.74 and 121,983.44

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Solution

The fourth proportional to 223,956.80, 309,055.74 and 121,983.44 is: 168,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,956.80 : 309,055.74 = 121,983.44 : x
  2. Step 2: Convert to fraction form
    223,956.80/309,055.74 = 121,983.44/x
  3. Step 3: Cross multiply
    223,956.80x = 309,055.74 × 121,983.44
  4. Step 4: Simplify right side
    223,956.80x = 37,699,682,316.95
  5. Step 5: Solve for x
    x = 37,699,682,316.95/223,956.80
  6. Step 6: Final answer
    x = 168,334.62

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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.