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Finding the Fourth Proportional to 212,804.92, 318,644.23 and 128,452.33

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Solution

The fourth proportional to 212,804.92, 318,644.23 and 128,452.33 is: 192,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,804.92 : 318,644.23 = 128,452.33 : x
  2. Step 2: Convert to fraction form
    212,804.92/318,644.23 = 128,452.33/x
  3. Step 3: Cross multiply
    212,804.92x = 318,644.23 × 128,452.33
  4. Step 4: Simplify right side
    212,804.92x = 40,930,594,102.58
  5. Step 5: Solve for x
    x = 40,930,594,102.58/212,804.92
  6. Step 6: Final answer
    x = 192,338.57

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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.