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Finding the Fourth Proportional to 196,469, 294,703.50 and 71,810

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Solution

The fourth proportional to 196,469, 294,703.50 and 71,810 is: 107,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,469 : 294,703.50 = 71,810 : x
  2. Step 2: Convert to fraction form
    196,469/294,703.50 = 71,810/x
  3. Step 3: Cross multiply
    196,469x = 294,703.50 × 71,810
  4. Step 4: Simplify right side
    196,469x = 21,162,658,335
  5. Step 5: Solve for x
    x = 21,162,658,335/196,469
  6. Step 6: Final answer
    x = 107,715

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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.