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Finding the Fourth Proportional to 202,102.30, 302,759.65 and 123,020.38

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Solution

The fourth proportional to 202,102.30, 302,759.65 and 123,020.38 is: 184,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102.30 : 302,759.65 = 123,020.38 : x
  2. Step 2: Convert to fraction form
    202,102.30/302,759.65 = 123,020.38/x
  3. Step 3: Cross multiply
    202,102.30x = 302,759.65 × 123,020.38
  4. Step 4: Simplify right side
    202,102.30x = 37,245,607,191.67
  5. Step 5: Solve for x
    x = 37,245,607,191.67/202,102.30
  6. Step 6: Final answer
    x = 184,290.86

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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.