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Finding the Fourth Proportional to 68,782.65, 103,183.16 and 27,219.93

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Solution

The fourth proportional to 68,782.65, 103,183.16 and 27,219.93 is: 40,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,782.65 : 103,183.16 = 27,219.93 : x
  2. Step 2: Convert to fraction form
    68,782.65/103,183.16 = 27,219.93/x
  3. Step 3: Cross multiply
    68,782.65x = 103,183.16 × 27,219.93
  4. Step 4: Simplify right side
    68,782.65x = 2,808,637,869.34
  5. Step 5: Solve for x
    x = 2,808,637,869.34/68,782.65
  6. Step 6: Final answer
    x = 40,833.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.