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Finding the Fourth Proportional to 192,452.41, 288,759.35 and 85,762.86

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Solution

The fourth proportional to 192,452.41, 288,759.35 and 85,762.86 is: 128,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,452.41 : 288,759.35 = 85,762.86 : x
  2. Step 2: Convert to fraction form
    192,452.41/288,759.35 = 85,762.86/x
  3. Step 3: Cross multiply
    192,452.41x = 288,759.35 × 85,762.86
  4. Step 4: Simplify right side
    192,452.41x = 24,764,828,568.13
  5. Step 5: Solve for x
    x = 24,764,828,568.13/192,452.41
  6. Step 6: Final answer
    x = 128,680.27

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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.