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Finding the Fourth Proportional to 221,343.32, 305,786.88 and 145,043.72

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Solution

The fourth proportional to 221,343.32, 305,786.88 and 145,043.72 is: 200,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,343.32 : 305,786.88 = 145,043.72 : x
  2. Step 2: Convert to fraction form
    221,343.32/305,786.88 = 145,043.72/x
  3. Step 3: Cross multiply
    221,343.32x = 305,786.88 × 145,043.72
  4. Step 4: Simplify right side
    221,343.32x = 44,352,466,602.39
  5. Step 5: Solve for x
    x = 44,352,466,602.39/221,343.32
  6. Step 6: Final answer
    x = 200,378.61

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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.