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Finding the Fourth Proportional to 196,021, 294,031.50 and 85,213

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Solution

The fourth proportional to 196,021, 294,031.50 and 85,213 is: 127,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,021 : 294,031.50 = 85,213 : x
  2. Step 2: Convert to fraction form
    196,021/294,031.50 = 85,213/x
  3. Step 3: Cross multiply
    196,021x = 294,031.50 × 85,213
  4. Step 4: Simplify right side
    196,021x = 25,055,306,209.50
  5. Step 5: Solve for x
    x = 25,055,306,209.50/196,021
  6. Step 6: Final answer
    x = 127,819.50

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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.