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Finding the Fourth Proportional to 221,368.49, 305,512.05 and 135,377.78

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Solution

The fourth proportional to 221,368.49, 305,512.05 and 135,377.78 is: 186,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,368.49 : 305,512.05 = 135,377.78 : x
  2. Step 2: Convert to fraction form
    221,368.49/305,512.05 = 135,377.78/x
  3. Step 3: Cross multiply
    221,368.49x = 305,512.05 × 135,377.78
  4. Step 4: Simplify right side
    221,368.49x = 41,359,543,790.86
  5. Step 5: Solve for x
    x = 41,359,543,790.86/221,368.49
  6. Step 6: Final answer
    x = 186,835.73

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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.