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Finding the Fourth Proportional to 189,214.28, 283,667.52 and 70,819.28

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Solution

The fourth proportional to 189,214.28, 283,667.52 and 70,819.28 is: 106,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,214.28 : 283,667.52 = 70,819.28 : x
  2. Step 2: Convert to fraction form
    189,214.28/283,667.52 = 70,819.28/x
  3. Step 3: Cross multiply
    189,214.28x = 283,667.52 × 70,819.28
  4. Step 4: Simplify right side
    189,214.28x = 20,089,129,525.79
  5. Step 5: Solve for x
    x = 20,089,129,525.79/189,214.28
  6. Step 6: Final answer
    x = 106,171.32

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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.