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Finding the Fourth Proportional to 189,107.35, 283,278.30 and 117,811.15

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Solution

The fourth proportional to 189,107.35, 283,278.30 and 117,811.15 is: 176,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,107.35 : 283,278.30 = 117,811.15 : x
  2. Step 2: Convert to fraction form
    189,107.35/283,278.30 = 117,811.15/x
  3. Step 3: Cross multiply
    189,107.35x = 283,278.30 × 117,811.15
  4. Step 4: Simplify right side
    189,107.35x = 33,373,342,293.05
  5. Step 5: Solve for x
    x = 33,373,342,293.05/189,107.35
  6. Step 6: Final answer
    x = 176,478.29

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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.