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Finding the Fourth Proportional to 189,098.36, 283,696.76 and 70,778.84

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Solution

The fourth proportional to 189,098.36, 283,696.76 and 70,778.84 is: 106,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.36 : 283,696.76 = 70,778.84 : x
  2. Step 2: Convert to fraction form
    189,098.36/283,696.76 = 70,778.84/x
  3. Step 3: Cross multiply
    189,098.36x = 283,696.76 × 70,778.84
  4. Step 4: Simplify right side
    189,098.36x = 20,079,727,584.56
  5. Step 5: Solve for x
    x = 20,079,727,584.56/189,098.36
  6. Step 6: Final answer
    x = 106,186.68

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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.