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Finding the Fourth Proportional to 189,212.28, 283,664.52 and 70,817.28

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Solution

The fourth proportional to 189,212.28, 283,664.52 and 70,817.28 is: 106,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,212.28 : 283,664.52 = 70,817.28 : x
  2. Step 2: Convert to fraction form
    189,212.28/283,664.52 = 70,817.28/x
  3. Step 3: Cross multiply
    189,212.28x = 283,664.52 × 70,817.28
  4. Step 4: Simplify right side
    189,212.28x = 20,088,349,738.91
  5. Step 5: Solve for x
    x = 20,088,349,738.91/189,212.28
  6. Step 6: Final answer
    x = 106,168.32

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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.