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Finding the Fourth Proportional to 112,978.23, 169,241.43 and 67,974.78

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Solution

The fourth proportional to 112,978.23, 169,241.43 and 67,974.78 is: 101,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,978.23 : 169,241.43 = 67,974.78 : x
  2. Step 2: Convert to fraction form
    112,978.23/169,241.43 = 67,974.78/x
  3. Step 3: Cross multiply
    112,978.23x = 169,241.43 × 67,974.78
  4. Step 4: Simplify right side
    112,978.23x = 11,504,148,971.14
  5. Step 5: Solve for x
    x = 11,504,148,971.14/112,978.23
  6. Step 6: Final answer
    x = 101,826.25

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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.