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Finding the Fourth Proportional to 189,506.40, 283,885.20 and 122,992.80

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Solution

The fourth proportional to 189,506.40, 283,885.20 and 122,992.80 is: 184,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,506.40 : 283,885.20 = 122,992.80 : x
  2. Step 2: Convert to fraction form
    189,506.40/283,885.20 = 122,992.80/x
  3. Step 3: Cross multiply
    189,506.40x = 283,885.20 × 122,992.80
  4. Step 4: Simplify right side
    189,506.40x = 34,915,835,626.56
  5. Step 5: Solve for x
    x = 34,915,835,626.56/189,506.40
  6. Step 6: Final answer
    x = 184,246.21

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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.