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Finding the Fourth Proportional to 219,138.64, 328,571.24 and 100,657.92

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Solution

The fourth proportional to 219,138.64, 328,571.24 and 100,657.92 is: 150,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,138.64 : 328,571.24 = 100,657.92 : x
  2. Step 2: Convert to fraction form
    219,138.64/328,571.24 = 100,657.92/x
  3. Step 3: Cross multiply
    219,138.64x = 328,571.24 × 100,657.92
  4. Step 4: Simplify right side
    219,138.64x = 33,073,297,590.22
  5. Step 5: Solve for x
    x = 33,073,297,590.22/219,138.64
  6. Step 6: Final answer
    x = 150,924.08

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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.