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Finding the Fourth Proportional to 72,828, 109,242 and 41,641.38

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Solution

The fourth proportional to 72,828, 109,242 and 41,641.38 is: 62,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 109,242 = 41,641.38 : x
  2. Step 2: Convert to fraction form
    72,828/109,242 = 41,641.38/x
  3. Step 3: Cross multiply
    72,828x = 109,242 × 41,641.38
  4. Step 4: Simplify right side
    72,828x = 4,548,987,633.96
  5. Step 5: Solve for x
    x = 4,548,987,633.96/72,828
  6. Step 6: Final answer
    x = 62,462.07

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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.