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Finding the Fourth Proportional to 189,013.68, 283,520.52 and 129,669.48

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Solution

The fourth proportional to 189,013.68, 283,520.52 and 129,669.48 is: 194,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,013.68 : 283,520.52 = 129,669.48 : x
  2. Step 2: Convert to fraction form
    189,013.68/283,520.52 = 129,669.48/x
  3. Step 3: Cross multiply
    189,013.68x = 283,520.52 × 129,669.48
  4. Step 4: Simplify right side
    189,013.68x = 36,763,958,397.73
  5. Step 5: Solve for x
    x = 36,763,958,397.73/189,013.68
  6. Step 6: Final answer
    x = 194,504.22

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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.