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Finding the Fourth Proportional to 154,702.85, 213,486.08 and 85,791.92

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Solution

The fourth proportional to 154,702.85, 213,486.08 and 85,791.92 is: 118,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.85 : 213,486.08 = 85,791.92 : x
  2. Step 2: Convert to fraction form
    154,702.85/213,486.08 = 85,791.92/x
  3. Step 3: Cross multiply
    154,702.85x = 213,486.08 × 85,791.92
  4. Step 4: Simplify right side
    154,702.85x = 18,315,379,843.52
  5. Step 5: Solve for x
    x = 18,315,379,843.52/154,702.85
  6. Step 6: Final answer
    x = 118,390.71

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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.