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Finding the Fourth Proportional to 189,296.50, 283,861.59 and 70,884.78

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Solution

The fourth proportional to 189,296.50, 283,861.59 and 70,884.78 is: 106,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,296.50 : 283,861.59 = 70,884.78 : x
  2. Step 2: Convert to fraction form
    189,296.50/283,861.59 = 70,884.78/x
  3. Step 3: Cross multiply
    189,296.50x = 283,861.59 × 70,884.78
  4. Step 4: Simplify right side
    189,296.50x = 20,121,466,357.60
  5. Step 5: Solve for x
    x = 20,121,466,357.60/189,296.50
  6. Step 6: Final answer
    x = 106,296.03

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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.