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Finding the Fourth Proportional to 189,415.20, 283,993.20 and 89,623.20

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Solution

The fourth proportional to 189,415.20, 283,993.20 and 89,623.20 is: 134,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,415.20 : 283,993.20 = 89,623.20 : x
  2. Step 2: Convert to fraction form
    189,415.20/283,993.20 = 89,623.20/x
  3. Step 3: Cross multiply
    189,415.20x = 283,993.20 × 89,623.20
  4. Step 4: Simplify right side
    189,415.20x = 25,452,379,362.24
  5. Step 5: Solve for x
    x = 25,452,379,362.24/189,415.20
  6. Step 6: Final answer
    x = 134,373.48

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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.