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Finding the Fourth Proportional to 230,401, 345,621.30 and 64,189

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Solution

The fourth proportional to 230,401, 345,621.30 and 64,189 is: 96,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,401 : 345,621.30 = 64,189 : x
  2. Step 2: Convert to fraction form
    230,401/345,621.30 = 64,189/x
  3. Step 3: Cross multiply
    230,401x = 345,621.30 × 64,189
  4. Step 4: Simplify right side
    230,401x = 22,185,085,625.70
  5. Step 5: Solve for x
    x = 22,185,085,625.70/230,401
  6. Step 6: Final answer
    x = 96,289.02

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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.