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Finding the Fourth Proportional to 228,523.82, 342,575.78 and 78,728.50

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Solution

The fourth proportional to 228,523.82, 342,575.78 and 78,728.50 is: 118,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,523.82 : 342,575.78 = 78,728.50 : x
  2. Step 2: Convert to fraction form
    228,523.82/342,575.78 = 78,728.50/x
  3. Step 3: Cross multiply
    228,523.82x = 342,575.78 × 78,728.50
  4. Step 4: Simplify right side
    228,523.82x = 26,970,476,636.11
  5. Step 5: Solve for x
    x = 26,970,476,636.11/228,523.82
  6. Step 6: Final answer
    x = 118,020.42

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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.