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Finding the Fourth Proportional to 255,798.88, 353,002.46 and 142,621.64

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Solution

The fourth proportional to 255,798.88, 353,002.46 and 142,621.64 is: 196,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,798.88 : 353,002.46 = 142,621.64 : x
  2. Step 2: Convert to fraction form
    255,798.88/353,002.46 = 142,621.64/x
  3. Step 3: Cross multiply
    255,798.88x = 353,002.46 × 142,621.64
  4. Step 4: Simplify right side
    255,798.88x = 50,345,789,769.23
  5. Step 5: Solve for x
    x = 50,345,789,769.23/255,798.88
  6. Step 6: Final answer
    x = 196,817.87

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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.