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Finding the Fourth Proportional to 196,073.50, 294,154 and 71,414.50

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Solution

The fourth proportional to 196,073.50, 294,154 and 71,414.50 is: 107,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,073.50 : 294,154 = 71,414.50 : x
  2. Step 2: Convert to fraction form
    196,073.50/294,154 = 71,414.50/x
  3. Step 3: Cross multiply
    196,073.50x = 294,154 × 71,414.50
  4. Step 4: Simplify right side
    196,073.50x = 21,006,860,833
  5. Step 5: Solve for x
    x = 21,006,860,833/196,073.50
  6. Step 6: Final answer
    x = 107,137.68

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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.