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Finding the Fourth Proportional to 196,331.76, 294,341.64 and 85,446

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Solution

The fourth proportional to 196,331.76, 294,341.64 and 85,446 is: 128,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,331.76 : 294,341.64 = 85,446 : x
  2. Step 2: Convert to fraction form
    196,331.76/294,341.64 = 85,446/x
  3. Step 3: Cross multiply
    196,331.76x = 294,341.64 × 85,446
  4. Step 4: Simplify right side
    196,331.76x = 25,150,315,771.44
  5. Step 5: Solve for x
    x = 25,150,315,771.44/196,331.76
  6. Step 6: Final answer
    x = 128,101.11

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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.