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Finding the Fourth Proportional to 68,611.60, 102,917.40 and 51,771.70

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Solution

The fourth proportional to 68,611.60, 102,917.40 and 51,771.70 is: 77,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,611.60 : 102,917.40 = 51,771.70 : x
  2. Step 2: Convert to fraction form
    68,611.60/102,917.40 = 51,771.70/x
  3. Step 3: Cross multiply
    68,611.60x = 102,917.40 × 51,771.70
  4. Step 4: Simplify right side
    68,611.60x = 5,328,208,757.58
  5. Step 5: Solve for x
    x = 5,328,208,757.58/68,611.60
  6. Step 6: Final answer
    x = 77,657.55

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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.