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Finding the Fourth Proportional to 279,851.10, 419,842.26 and 111,381.63

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Solution

The fourth proportional to 279,851.10, 419,842.26 and 111,381.63 is: 167,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,851.10 : 419,842.26 = 111,381.63 : x
  2. Step 2: Convert to fraction form
    279,851.10/419,842.26 = 111,381.63/x
  3. Step 3: Cross multiply
    279,851.10x = 419,842.26 × 111,381.63
  4. Step 4: Simplify right side
    279,851.10x = 46,762,713,687.28
  5. Step 5: Solve for x
    x = 46,762,713,687.28/279,851.10
  6. Step 6: Final answer
    x = 167,098.55

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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.