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Finding the Fourth Proportional to 218,826.63, 302,067.72 and 188,078.01

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Solution

The fourth proportional to 218,826.63, 302,067.72 and 188,078.01 is: 259,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,826.63 : 302,067.72 = 188,078.01 : x
  2. Step 2: Convert to fraction form
    218,826.63/302,067.72 = 188,078.01/x
  3. Step 3: Cross multiply
    218,826.63x = 302,067.72 × 188,078.01
  4. Step 4: Simplify right side
    218,826.63x = 56,812,295,662.84
  5. Step 5: Solve for x
    x = 56,812,295,662.84/218,826.63
  6. Step 6: Final answer
    x = 259,622.40

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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.