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Finding the Fourth Proportional to 228,450.34, 342,712.23 and 78,653.80

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Solution

The fourth proportional to 228,450.34, 342,712.23 and 78,653.80 is: 117,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,450.34 : 342,712.23 = 78,653.80 : x
  2. Step 2: Convert to fraction form
    228,450.34/342,712.23 = 78,653.80/x
  3. Step 3: Cross multiply
    228,450.34x = 342,712.23 × 78,653.80
  4. Step 4: Simplify right side
    228,450.34x = 26,955,619,195.97
  5. Step 5: Solve for x
    x = 26,955,619,195.97/228,450.34
  6. Step 6: Final answer
    x = 117,993.34

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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.