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Finding the Fourth Proportional to 74,415.82, 111,624.65 and 21,826.39

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Solution

The fourth proportional to 74,415.82, 111,624.65 and 21,826.39 is: 32,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415.82 : 111,624.65 = 21,826.39 : x
  2. Step 2: Convert to fraction form
    74,415.82/111,624.65 = 21,826.39/x
  3. Step 3: Cross multiply
    74,415.82x = 111,624.65 × 21,826.39
  4. Step 4: Simplify right side
    74,415.82x = 2,436,362,477.26
  5. Step 5: Solve for x
    x = 2,436,362,477.26/74,415.82
  6. Step 6: Final answer
    x = 32,739.85

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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.