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Finding the Fourth Proportional to 141,804.80, 195,690.22 and 78,142.58

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Solution

The fourth proportional to 141,804.80, 195,690.22 and 78,142.58 is: 107,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,804.80 : 195,690.22 = 78,142.58 : x
  2. Step 2: Convert to fraction form
    141,804.80/195,690.22 = 78,142.58/x
  3. Step 3: Cross multiply
    141,804.80x = 195,690.22 × 78,142.58
  4. Step 4: Simplify right side
    141,804.80x = 15,291,738,671.57
  5. Step 5: Solve for x
    x = 15,291,738,671.57/141,804.80
  6. Step 6: Final answer
    x = 107,836.54

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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.