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Finding the Fourth Proportional to 221,671.08, 305,849.82 and 135,598.76

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Solution

The fourth proportional to 221,671.08, 305,849.82 and 135,598.76 is: 187,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,671.08 : 305,849.82 = 135,598.76 : x
  2. Step 2: Convert to fraction form
    221,671.08/305,849.82 = 135,598.76/x
  3. Step 3: Cross multiply
    221,671.08x = 305,849.82 × 135,598.76
  4. Step 4: Simplify right side
    221,671.08x = 41,472,856,464.41
  5. Step 5: Solve for x
    x = 41,472,856,464.41/221,671.08
  6. Step 6: Final answer
    x = 187,091.87

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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.