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Finding the Fourth Proportional to 190,149.82, 285,207.66 and 57,059.80

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Solution

The fourth proportional to 190,149.82, 285,207.66 and 57,059.80 is: 85,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149.82 : 285,207.66 = 57,059.80 : x
  2. Step 2: Convert to fraction form
    190,149.82/285,207.66 = 57,059.80/x
  3. Step 3: Cross multiply
    190,149.82x = 285,207.66 × 57,059.80
  4. Step 4: Simplify right side
    190,149.82x = 16,273,892,038.07
  5. Step 5: Solve for x
    x = 16,273,892,038.07/190,149.82
  6. Step 6: Final answer
    x = 85,584.58

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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.