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Finding the Fourth Proportional to 255,819.20, 353,022.72 and 142,661.12

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Solution

The fourth proportional to 255,819.20, 353,022.72 and 142,661.12 is: 196,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,819.20 : 353,022.72 = 142,661.12 : x
  2. Step 2: Convert to fraction form
    255,819.20/353,022.72 = 142,661.12/x
  3. Step 3: Cross multiply
    255,819.20x = 353,022.72 × 142,661.12
  4. Step 4: Simplify right side
    255,819.20x = 50,362,616,620.65
  5. Step 5: Solve for x
    x = 50,362,616,620.65/255,819.20
  6. Step 6: Final answer
    x = 196,868.01

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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.