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Finding the Fourth Proportional to 189,138.30, 283,707.45 and 95,826.30

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Solution

The fourth proportional to 189,138.30, 283,707.45 and 95,826.30 is: 143,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,138.30 : 283,707.45 = 95,826.30 : x
  2. Step 2: Convert to fraction form
    189,138.30/283,707.45 = 95,826.30/x
  3. Step 3: Cross multiply
    189,138.30x = 283,707.45 × 95,826.30
  4. Step 4: Simplify right side
    189,138.30x = 27,186,635,215.94
  5. Step 5: Solve for x
    x = 27,186,635,215.94/189,138.30
  6. Step 6: Final answer
    x = 143,739.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.