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Finding the Fourth Proportional to 243,619.38, 365,468.49 and 75,100.31

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Solution

The fourth proportional to 243,619.38, 365,468.49 and 75,100.31 is: 112,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,619.38 : 365,468.49 = 75,100.31 : x
  2. Step 2: Convert to fraction form
    243,619.38/365,468.49 = 75,100.31/x
  3. Step 3: Cross multiply
    243,619.38x = 365,468.49 × 75,100.31
  4. Step 4: Simplify right side
    243,619.38x = 27,446,795,066.89
  5. Step 5: Solve for x
    x = 27,446,795,066.89/243,619.38
  6. Step 6: Final answer
    x = 112,662.61

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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.