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Finding the Fourth Proportional to 155,779, 214,975.02 and 85,123

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Solution

The fourth proportional to 155,779, 214,975.02 and 85,123 is: 117,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,779 : 214,975.02 = 85,123 : x
  2. Step 2: Convert to fraction form
    155,779/214,975.02 = 85,123/x
  3. Step 3: Cross multiply
    155,779x = 214,975.02 × 85,123
  4. Step 4: Simplify right side
    155,779x = 18,299,318,627.46
  5. Step 5: Solve for x
    x = 18,299,318,627.46/155,779
  6. Step 6: Final answer
    x = 117,469.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.