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Finding the Fourth Proportional to 206,051.40, 308,846.70 and 87,702.60

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Solution

The fourth proportional to 206,051.40, 308,846.70 and 87,702.60 is: 131,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,051.40 : 308,846.70 = 87,702.60 : x
  2. Step 2: Convert to fraction form
    206,051.40/308,846.70 = 87,702.60/x
  3. Step 3: Cross multiply
    206,051.40x = 308,846.70 × 87,702.60
  4. Step 4: Simplify right side
    206,051.40x = 27,086,658,591.42
  5. Step 5: Solve for x
    x = 27,086,658,591.42/206,051.40
  6. Step 6: Final answer
    x = 131,455.83

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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.