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Finding the Fourth Proportional to 196,466, 294,699 and 71,807

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Solution

The fourth proportional to 196,466, 294,699 and 71,807 is: 107,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466 : 294,699 = 71,807 : x
  2. Step 2: Convert to fraction form
    196,466/294,699 = 71,807/x
  3. Step 3: Cross multiply
    196,466x = 294,699 × 71,807
  4. Step 4: Simplify right side
    196,466x = 21,161,451,093
  5. Step 5: Solve for x
    x = 21,161,451,093/196,466
  6. Step 6: Final answer
    x = 107,710.50

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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.