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Finding the Fourth Proportional to 81,798, 122,725.80 and 40,274.16

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Solution

The fourth proportional to 81,798, 122,725.80 and 40,274.16 is: 60,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,798 : 122,725.80 = 40,274.16 : x
  2. Step 2: Convert to fraction form
    81,798/122,725.80 = 40,274.16/x
  3. Step 3: Cross multiply
    81,798x = 122,725.80 × 40,274.16
  4. Step 4: Simplify right side
    81,798x = 4,942,678,505.33
  5. Step 5: Solve for x
    x = 4,942,678,505.33/81,798
  6. Step 6: Final answer
    x = 60,425.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.