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Finding the Fourth Proportional to 200,032.64, 300,025.76 and 80,141.28

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Solution

The fourth proportional to 200,032.64, 300,025.76 and 80,141.28 is: 120,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032.64 : 300,025.76 = 80,141.28 : x
  2. Step 2: Convert to fraction form
    200,032.64/300,025.76 = 80,141.28/x
  3. Step 3: Cross multiply
    200,032.64x = 300,025.76 × 80,141.28
  4. Step 4: Simplify right side
    200,032.64x = 24,044,448,439.37
  5. Step 5: Solve for x
    x = 24,044,448,439.37/200,032.64
  6. Step 6: Final answer
    x = 120,202.63

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1.5x scale

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.