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Finding the Fourth Proportional to 145,546.54, 200,843.11 and 81,872.03

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Solution

The fourth proportional to 145,546.54, 200,843.11 and 81,872.03 is: 112,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,546.54 : 200,843.11 = 81,872.03 : x
  2. Step 2: Convert to fraction form
    145,546.54/200,843.11 = 81,872.03/x
  3. Step 3: Cross multiply
    145,546.54x = 200,843.11 × 81,872.03
  4. Step 4: Simplify right side
    145,546.54x = 16,443,433,127.21
  5. Step 5: Solve for x
    x = 16,443,433,127.21/145,546.54
  6. Step 6: Final answer
    x = 112,977.15

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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.