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Finding the Fourth Proportional to 223,093.92, 307,869.87 and 121,119.48

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Solution

The fourth proportional to 223,093.92, 307,869.87 and 121,119.48 is: 167,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,093.92 : 307,869.87 = 121,119.48 : x
  2. Step 2: Convert to fraction form
    223,093.92/307,869.87 = 121,119.48/x
  3. Step 3: Cross multiply
    223,093.92x = 307,869.87 × 121,119.48
  4. Step 4: Simplify right side
    223,093.92x = 37,289,038,562.07
  5. Step 5: Solve for x
    x = 37,289,038,562.07/223,093.92
  6. Step 6: Final answer
    x = 167,145.02

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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.