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Finding the Fourth Proportional to 78,121.94, 117,188.37 and 38,668.46

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Solution

The fourth proportional to 78,121.94, 117,188.37 and 38,668.46 is: 58,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.94 : 117,188.37 = 38,668.46 : x
  2. Step 2: Convert to fraction form
    78,121.94/117,188.37 = 38,668.46/x
  3. Step 3: Cross multiply
    78,121.94x = 117,188.37 × 38,668.46
  4. Step 4: Simplify right side
    78,121.94x = 4,531,493,211.87
  5. Step 5: Solve for x
    x = 4,531,493,211.87/78,121.94
  6. Step 6: Final answer
    x = 58,005.39

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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.