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Finding the Fourth Proportional to 196,026, 294,039 and 85,218

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Solution

The fourth proportional to 196,026, 294,039 and 85,218 is: 127,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,026 : 294,039 = 85,218 : x
  2. Step 2: Convert to fraction form
    196,026/294,039 = 85,218/x
  3. Step 3: Cross multiply
    196,026x = 294,039 × 85,218
  4. Step 4: Simplify right side
    196,026x = 25,057,415,502
  5. Step 5: Solve for x
    x = 25,057,415,502/196,026
  6. Step 6: Final answer
    x = 127,827

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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.