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Finding the Fourth Proportional to 137,364.60, 205,893.30 and 78,228.60

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Solution

The fourth proportional to 137,364.60, 205,893.30 and 78,228.60 is: 117,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,364.60 : 205,893.30 = 78,228.60 : x
  2. Step 2: Convert to fraction form
    137,364.60/205,893.30 = 78,228.60/x
  3. Step 3: Cross multiply
    137,364.60x = 205,893.30 × 78,228.60
  4. Step 4: Simplify right side
    137,364.60x = 16,106,744,608.38
  5. Step 5: Solve for x
    x = 16,106,744,608.38/137,364.60
  6. Step 6: Final answer
    x = 117,255.43

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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.