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Finding the Fourth Proportional to 228,093.20, 342,107.40 and 78,340.40

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Solution

The fourth proportional to 228,093.20, 342,107.40 and 78,340.40 is: 117,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,093.20 : 342,107.40 = 78,340.40 : x
  2. Step 2: Convert to fraction form
    228,093.20/342,107.40 = 78,340.40/x
  3. Step 3: Cross multiply
    228,093.20x = 342,107.40 × 78,340.40
  4. Step 4: Simplify right side
    228,093.20x = 26,800,830,558.96
  5. Step 5: Solve for x
    x = 26,800,830,558.96/228,093.20
  6. Step 6: Final answer
    x = 117,499.47

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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.