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Finding the Fourth Proportional to 218,768.70, 328,163.48 and 106,314.94

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Solution

The fourth proportional to 218,768.70, 328,163.48 and 106,314.94 is: 159,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,768.70 : 328,163.48 = 106,314.94 : x
  2. Step 2: Convert to fraction form
    218,768.70/328,163.48 = 106,314.94/x
  3. Step 3: Cross multiply
    218,768.70x = 328,163.48 × 106,314.94
  4. Step 4: Simplify right side
    218,768.70x = 34,888,680,686.39
  5. Step 5: Solve for x
    x = 34,888,680,686.39/218,768.70
  6. Step 6: Final answer
    x = 159,477.48

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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.