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Finding the Fourth Proportional to 190,531.04, 285,785.04 and 85,321.76

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Solution

The fourth proportional to 190,531.04, 285,785.04 and 85,321.76 is: 127,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,531.04 : 285,785.04 = 85,321.76 : x
  2. Step 2: Convert to fraction form
    190,531.04/285,785.04 = 85,321.76/x
  3. Step 3: Cross multiply
    190,531.04x = 285,785.04 × 85,321.76
  4. Step 4: Simplify right side
    190,531.04x = 24,383,682,594.47
  5. Step 5: Solve for x
    x = 24,383,682,594.47/190,531.04
  6. Step 6: Final answer
    x = 127,977.48

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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.