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Finding the Fourth Proportional to 189,069.40, 283,604.10 and 119,085.40

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Solution

The fourth proportional to 189,069.40, 283,604.10 and 119,085.40 is: 178,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,069.40 : 283,604.10 = 119,085.40 : x
  2. Step 2: Convert to fraction form
    189,069.40/283,604.10 = 119,085.40/x
  3. Step 3: Cross multiply
    189,069.40x = 283,604.10 × 119,085.40
  4. Step 4: Simplify right side
    189,069.40x = 33,773,107,690.14
  5. Step 5: Solve for x
    x = 33,773,107,690.14/189,069.40
  6. Step 6: Final answer
    x = 178,628.10

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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.