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Finding the Fourth Proportional to 119,163.84, 178,745.64 and 30,417.36

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Solution

The fourth proportional to 119,163.84, 178,745.64 and 30,417.36 is: 45,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.84 : 178,745.64 = 30,417.36 : x
  2. Step 2: Convert to fraction form
    119,163.84/178,745.64 = 30,417.36/x
  3. Step 3: Cross multiply
    119,163.84x = 178,745.64 × 30,417.36
  4. Step 4: Simplify right side
    119,163.84x = 5,436,970,480.31
  5. Step 5: Solve for x
    x = 5,436,970,480.31/119,163.84
  6. Step 6: Final answer
    x = 45,626.01

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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.