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Finding the Fourth Proportional to 210,530, 315,950.52 and 99,722

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Solution

The fourth proportional to 210,530, 315,950.52 and 99,722 is: 149,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,530 : 315,950.52 = 99,722 : x
  2. Step 2: Convert to fraction form
    210,530/315,950.52 = 99,722/x
  3. Step 3: Cross multiply
    210,530x = 315,950.52 × 99,722
  4. Step 4: Simplify right side
    210,530x = 31,507,217,755.44
  5. Step 5: Solve for x
    x = 31,507,217,755.44/210,530
  6. Step 6: Final answer
    x = 149,656.67

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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.