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Finding the Fourth Proportional to 221,674.86, 305,911.65 and 126,181.56

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Solution

The fourth proportional to 221,674.86, 305,911.65 and 126,181.56 is: 174,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,674.86 : 305,911.65 = 126,181.56 : x
  2. Step 2: Convert to fraction form
    221,674.86/305,911.65 = 126,181.56/x
  3. Step 3: Cross multiply
    221,674.86x = 305,911.65 × 126,181.56
  4. Step 4: Simplify right side
    221,674.86x = 38,600,409,219.17
  5. Step 5: Solve for x
    x = 38,600,409,219.17/221,674.86
  6. Step 6: Final answer
    x = 174,130.75

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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.