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Finding the Fourth Proportional to 74,546, 111,819 and 19,142

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Solution

The fourth proportional to 74,546, 111,819 and 19,142 is: 28,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,546 : 111,819 = 19,142 : x
  2. Step 2: Convert to fraction form
    74,546/111,819 = 19,142/x
  3. Step 3: Cross multiply
    74,546x = 111,819 × 19,142
  4. Step 4: Simplify right side
    74,546x = 2,140,439,298
  5. Step 5: Solve for x
    x = 2,140,439,298/74,546
  6. Step 6: Final answer
    x = 28,713

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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.