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Finding the Fourth Proportional to 228,183.84, 342,309.60 and 78,462.72

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Solution

The fourth proportional to 228,183.84, 342,309.60 and 78,462.72 is: 117,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,183.84 : 342,309.60 = 78,462.72 : x
  2. Step 2: Convert to fraction form
    228,183.84/342,309.60 = 78,462.72/x
  3. Step 3: Cross multiply
    228,183.84x = 342,309.60 × 78,462.72
  4. Step 4: Simplify right side
    228,183.84x = 26,858,542,298.11
  5. Step 5: Solve for x
    x = 26,858,542,298.11/228,183.84
  6. Step 6: Final answer
    x = 117,705.72

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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.