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Finding the Fourth Proportional to 141,734, 195,592.92 and 78,071.60

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Solution

The fourth proportional to 141,734, 195,592.92 and 78,071.60 is: 107,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,734 : 195,592.92 = 78,071.60 : x
  2. Step 2: Convert to fraction form
    141,734/195,592.92 = 78,071.60/x
  3. Step 3: Cross multiply
    141,734x = 195,592.92 × 78,071.60
  4. Step 4: Simplify right side
    141,734x = 15,270,252,213.07
  5. Step 5: Solve for x
    x = 15,270,252,213.07/141,734
  6. Step 6: Final answer
    x = 107,738.81

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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.