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Finding the Fourth Proportional to 210,410.10, 315,338.67 and 99,633.78

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Solution

The fourth proportional to 210,410.10, 315,338.67 and 99,633.78 is: 149,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,410.10 : 315,338.67 = 99,633.78 : x
  2. Step 2: Convert to fraction form
    210,410.10/315,338.67 = 99,633.78/x
  3. Step 3: Cross multiply
    210,410.10x = 315,338.67 × 99,633.78
  4. Step 4: Simplify right side
    210,410.10x = 31,418,383,672.27
  5. Step 5: Solve for x
    x = 31,418,383,672.27/210,410.10
  6. Step 6: Final answer
    x = 149,319.75

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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.