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Finding the Fourth Proportional to 189,269, 283,951.50 and 70,940.68

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Solution

The fourth proportional to 189,269, 283,951.50 and 70,940.68 is: 106,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,269 : 283,951.50 = 70,940.68 : x
  2. Step 2: Convert to fraction form
    189,269/283,951.50 = 70,940.68/x
  3. Step 3: Cross multiply
    189,269x = 283,951.50 × 70,940.68
  4. Step 4: Simplify right side
    189,269x = 20,143,712,497.02
  5. Step 5: Solve for x
    x = 20,143,712,497.02/189,269
  6. Step 6: Final answer
    x = 106,429.01

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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.