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Finding the Fourth Proportional to 200,089.64, 300,134.96 and 81,760.96

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Solution

The fourth proportional to 200,089.64, 300,134.96 and 81,760.96 is: 122,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.64 : 300,134.96 = 81,760.96 : x
  2. Step 2: Convert to fraction form
    200,089.64/300,134.96 = 81,760.96/x
  3. Step 3: Cross multiply
    200,089.64x = 300,134.96 × 81,760.96
  4. Step 4: Simplify right side
    200,089.64x = 24,539,320,958.49
  5. Step 5: Solve for x
    x = 24,539,320,958.49/200,089.64
  6. Step 6: Final answer
    x = 122,641.64

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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.