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Finding the Fourth Proportional to 189,446.40, 284,025.60 and 96,019.20

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Solution

The fourth proportional to 189,446.40, 284,025.60 and 96,019.20 is: 143,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,446.40 : 284,025.60 = 96,019.20 : x
  2. Step 2: Convert to fraction form
    189,446.40/284,025.60 = 96,019.20/x
  3. Step 3: Cross multiply
    189,446.40x = 284,025.60 × 96,019.20
  4. Step 4: Simplify right side
    189,446.40x = 27,271,910,891.52
  5. Step 5: Solve for x
    x = 27,271,910,891.52/189,446.40
  6. Step 6: Final answer
    x = 143,955.81

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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.