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Finding the Fourth Proportional to 189,276, 283,962 and 70,947.68

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Solution

The fourth proportional to 189,276, 283,962 and 70,947.68 is: 106,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,276 : 283,962 = 70,947.68 : x
  2. Step 2: Convert to fraction form
    189,276/283,962 = 70,947.68/x
  3. Step 3: Cross multiply
    189,276x = 283,962 × 70,947.68
  4. Step 4: Simplify right side
    189,276x = 20,146,445,108.16
  5. Step 5: Solve for x
    x = 20,146,445,108.16/189,276
  6. Step 6: Final answer
    x = 106,439.51

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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.