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Finding the Fourth Proportional to 142,093.80, 195,969.06 and 85,494.60

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Solution

The fourth proportional to 142,093.80, 195,969.06 and 85,494.60 is: 117,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,093.80 : 195,969.06 = 85,494.60 : x
  2. Step 2: Convert to fraction form
    142,093.80/195,969.06 = 85,494.60/x
  3. Step 3: Cross multiply
    142,093.80x = 195,969.06 × 85,494.60
  4. Step 4: Simplify right side
    142,093.80x = 16,754,296,397.08
  5. Step 5: Solve for x
    x = 16,754,296,397.08/142,093.80
  6. Step 6: Final answer
    x = 117,910.12

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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.