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Finding the Fourth Proportional to 196,966.48, 295,450.20 and 78,647.44

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Solution

The fourth proportional to 196,966.48, 295,450.20 and 78,647.44 is: 117,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,966.48 : 295,450.20 = 78,647.44 : x
  2. Step 2: Convert to fraction form
    196,966.48/295,450.20 = 78,647.44/x
  3. Step 3: Cross multiply
    196,966.48x = 295,450.20 × 78,647.44
  4. Step 4: Simplify right side
    196,966.48x = 23,236,401,877.49
  5. Step 5: Solve for x
    x = 23,236,401,877.49/196,966.48
  6. Step 6: Final answer
    x = 117,971.35

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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.