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Finding the Fourth Proportional to 141,846.88, 195,750 and 78,187.12

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Solution

The fourth proportional to 141,846.88, 195,750 and 78,187.12 is: 107,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,846.88 : 195,750 = 78,187.12 : x
  2. Step 2: Convert to fraction form
    141,846.88/195,750 = 78,187.12/x
  3. Step 3: Cross multiply
    141,846.88x = 195,750 × 78,187.12
  4. Step 4: Simplify right side
    141,846.88x = 15,305,128,740
  5. Step 5: Solve for x
    x = 15,305,128,740/141,846.88
  6. Step 6: Final answer
    x = 107,898.95

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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.