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Finding the Fourth Proportional to 68,530.57, 102,794.78 and 21,782.77

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Solution

The fourth proportional to 68,530.57, 102,794.78 and 21,782.77 is: 32,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,530.57 : 102,794.78 = 21,782.77 : x
  2. Step 2: Convert to fraction form
    68,530.57/102,794.78 = 21,782.77/x
  3. Step 3: Cross multiply
    68,530.57x = 102,794.78 × 21,782.77
  4. Step 4: Simplify right side
    68,530.57x = 2,239,154,941.03
  5. Step 5: Solve for x
    x = 2,239,154,941.03/68,530.57
  6. Step 6: Final answer
    x = 32,673.81

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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.