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Finding the Fourth Proportional to 217,576.98, 300,179.25 and 142,169.22

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Solution

The fourth proportional to 217,576.98, 300,179.25 and 142,169.22 is: 196,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,576.98 : 300,179.25 = 142,169.22 : x
  2. Step 2: Convert to fraction form
    217,576.98/300,179.25 = 142,169.22/x
  3. Step 3: Cross multiply
    217,576.98x = 300,179.25 × 142,169.22
  4. Step 4: Simplify right side
    217,576.98x = 42,676,249,832.69
  5. Step 5: Solve for x
    x = 42,676,249,832.69/217,576.98
  6. Step 6: Final answer
    x = 196,143.22

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1.5x scale

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.