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Finding the Fourth Proportional to 202,635.30, 303,624.90 and 123,509.64

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Solution

The fourth proportional to 202,635.30, 303,624.90 and 123,509.64 is: 185,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,635.30 : 303,624.90 = 123,509.64 : x
  2. Step 2: Convert to fraction form
    202,635.30/303,624.90 = 123,509.64/x
  3. Step 3: Cross multiply
    202,635.30x = 303,624.90 × 123,509.64
  4. Step 4: Simplify right side
    202,635.30x = 37,500,603,695.79
  5. Step 5: Solve for x
    x = 37,500,603,695.79/202,635.30
  6. Step 6: Final answer
    x = 185,064.51

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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.