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Finding the Fourth Proportional to 213,561, 294,704.85 and 122,919.87

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Solution

The fourth proportional to 213,561, 294,704.85 and 122,919.87 is: 169,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,561 : 294,704.85 = 122,919.87 : x
  2. Step 2: Convert to fraction form
    213,561/294,704.85 = 122,919.87/x
  3. Step 3: Cross multiply
    213,561x = 294,704.85 × 122,919.87
  4. Step 4: Simplify right side
    213,561x = 36,225,081,850.37
  5. Step 5: Solve for x
    x = 36,225,081,850.37/213,561
  6. Step 6: Final answer
    x = 169,624.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.