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Finding the Fourth Proportional to 223,172.15, 307,976.58 and 121,196.88

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Solution

The fourth proportional to 223,172.15, 307,976.58 and 121,196.88 is: 167,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,172.15 : 307,976.58 = 121,196.88 : x
  2. Step 2: Convert to fraction form
    223,172.15/307,976.58 = 121,196.88/x
  3. Step 3: Cross multiply
    223,172.15x = 307,976.58 × 121,196.88
  4. Step 4: Simplify right side
    223,172.15x = 37,325,800,609.07
  5. Step 5: Solve for x
    x = 37,325,800,609.07/223,172.15
  6. Step 6: Final answer
    x = 167,251.16

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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.