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Finding the Fourth Proportional to 74,697.19, 111,978.25 and 27,278.83

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Solution

The fourth proportional to 74,697.19, 111,978.25 and 27,278.83 is: 40,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,697.19 : 111,978.25 = 27,278.83 : x
  2. Step 2: Convert to fraction form
    74,697.19/111,978.25 = 27,278.83/x
  3. Step 3: Cross multiply
    74,697.19x = 111,978.25 × 27,278.83
  4. Step 4: Simplify right side
    74,697.19x = 3,054,635,087.35
  5. Step 5: Solve for x
    x = 3,054,635,087.35/74,697.19
  6. Step 6: Final answer
    x = 40,893.58

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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.