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Finding the Fourth Proportional to 189,143.88, 283,684.64 and 76,819.56

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Solution

The fourth proportional to 189,143.88, 283,684.64 and 76,819.56 is: 115,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,143.88 : 283,684.64 = 76,819.56 : x
  2. Step 2: Convert to fraction form
    189,143.88/283,684.64 = 76,819.56/x
  3. Step 3: Cross multiply
    189,143.88x = 283,684.64 × 76,819.56
  4. Step 4: Simplify right side
    189,143.88x = 21,792,528,839.46
  5. Step 5: Solve for x
    x = 21,792,528,839.46/189,143.88
  6. Step 6: Final answer
    x = 115,216.67

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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.