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Finding the Fourth Proportional to 137,934, 190,349.10 and 78,318

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Solution

The fourth proportional to 137,934, 190,349.10 and 78,318 is: 108,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,934 : 190,349.10 = 78,318 : x
  2. Step 2: Convert to fraction form
    137,934/190,349.10 = 78,318/x
  3. Step 3: Cross multiply
    137,934x = 190,349.10 × 78,318
  4. Step 4: Simplify right side
    137,934x = 14,907,760,813.80
  5. Step 5: Solve for x
    x = 14,907,760,813.80/137,934
  6. Step 6: Final answer
    x = 108,078.94

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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.