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Finding the Fourth Proportional to 211,441.50, 317,163.30 and 53,670

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Solution

The fourth proportional to 211,441.50, 317,163.30 and 53,670 is: 80,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,441.50 : 317,163.30 = 53,670 : x
  2. Step 2: Convert to fraction form
    211,441.50/317,163.30 = 53,670/x
  3. Step 3: Cross multiply
    211,441.50x = 317,163.30 × 53,670
  4. Step 4: Simplify right side
    211,441.50x = 17,022,154,311
  5. Step 5: Solve for x
    x = 17,022,154,311/211,441.50
  6. Step 6: Final answer
    x = 80,505.27

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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.