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Finding the Fourth Proportional to 202,963.80, 280,202.64 and 122,411.64

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Solution

The fourth proportional to 202,963.80, 280,202.64 and 122,411.64 is: 168,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,963.80 : 280,202.64 = 122,411.64 : x
  2. Step 2: Convert to fraction form
    202,963.80/280,202.64 = 122,411.64/x
  3. Step 3: Cross multiply
    202,963.80x = 280,202.64 × 122,411.64
  4. Step 4: Simplify right side
    202,963.80x = 34,300,064,694.73
  5. Step 5: Solve for x
    x = 34,300,064,694.73/202,963.80
  6. Step 6: Final answer
    x = 168,995.97

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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.