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Finding the Fourth Proportional to 208,558.60, 312,902.70 and 82,214.80

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Solution

The fourth proportional to 208,558.60, 312,902.70 and 82,214.80 is: 123,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,558.60 : 312,902.70 = 82,214.80 : x
  2. Step 2: Convert to fraction form
    208,558.60/312,902.70 = 82,214.80/x
  3. Step 3: Cross multiply
    208,558.60x = 312,902.70 × 82,214.80
  4. Step 4: Simplify right side
    208,558.60x = 25,725,232,899.96
  5. Step 5: Solve for x
    x = 25,725,232,899.96/208,558.60
  6. Step 6: Final answer
    x = 123,347.74

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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.