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Finding the Fourth Proportional to 189,211.52, 283,809 and 47,053.82

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Solution

The fourth proportional to 189,211.52, 283,809 and 47,053.82 is: 70,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.52 : 283,809 = 47,053.82 : x
  2. Step 2: Convert to fraction form
    189,211.52/283,809 = 47,053.82/x
  3. Step 3: Cross multiply
    189,211.52x = 283,809 × 47,053.82
  4. Step 4: Simplify right side
    189,211.52x = 13,354,297,600.38
  5. Step 5: Solve for x
    x = 13,354,297,600.38/189,211.52
  6. Step 6: Final answer
    x = 70,578.67

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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.