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Finding the Fourth Proportional to 141,866.65, 195,777.31 and 78,206.73

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Solution

The fourth proportional to 141,866.65, 195,777.31 and 78,206.73 is: 107,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,866.65 : 195,777.31 = 78,206.73 : x
  2. Step 2: Convert to fraction form
    141,866.65/195,777.31 = 78,206.73/x
  3. Step 3: Cross multiply
    141,866.65x = 195,777.31 × 78,206.73
  4. Step 4: Simplify right side
    141,866.65x = 15,311,103,223.30
  5. Step 5: Solve for x
    x = 15,311,103,223.30/141,866.65
  6. Step 6: Final answer
    x = 107,926.02

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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.