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Finding the Fourth Proportional to 200,169.46, 300,254.40 and 81,840.80

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Solution

The fourth proportional to 200,169.46, 300,254.40 and 81,840.80 is: 122,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,169.46 : 300,254.40 = 81,840.80 : x
  2. Step 2: Convert to fraction form
    200,169.46/300,254.40 = 81,840.80/x
  3. Step 3: Cross multiply
    200,169.46x = 300,254.40 × 81,840.80
  4. Step 4: Simplify right side
    200,169.46x = 24,573,060,299.52
  5. Step 5: Solve for x
    x = 24,573,060,299.52/200,169.46
  6. Step 6: Final answer
    x = 122,761.29

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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.