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Finding the Fourth Proportional to 146,309.88, 201,905.20 and 81,780.64

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Solution

The fourth proportional to 146,309.88, 201,905.20 and 81,780.64 is: 112,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,309.88 : 201,905.20 = 81,780.64 : x
  2. Step 2: Convert to fraction form
    146,309.88/201,905.20 = 81,780.64/x
  3. Step 3: Cross multiply
    146,309.88x = 201,905.20 × 81,780.64
  4. Step 4: Simplify right side
    146,309.88x = 16,511,936,475.33
  5. Step 5: Solve for x
    x = 16,511,936,475.33/146,309.88
  6. Step 6: Final answer
    x = 112,855.92

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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.