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Finding the Fourth Proportional to 196,729, 295,093.50 and 65,401

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Solution

The fourth proportional to 196,729, 295,093.50 and 65,401 is: 98,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,729 : 295,093.50 = 65,401 : x
  2. Step 2: Convert to fraction form
    196,729/295,093.50 = 65,401/x
  3. Step 3: Cross multiply
    196,729x = 295,093.50 × 65,401
  4. Step 4: Simplify right side
    196,729x = 19,299,409,993.50
  5. Step 5: Solve for x
    x = 19,299,409,993.50/196,729
  6. Step 6: Final answer
    x = 98,101.50

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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.