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Finding the Fourth Proportional to 68,477.81, 102,716.75 and 21,730.69

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Solution

The fourth proportional to 68,477.81, 102,716.75 and 21,730.69 is: 32,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,477.81 : 102,716.75 = 21,730.69 : x
  2. Step 2: Convert to fraction form
    68,477.81/102,716.75 = 21,730.69/x
  3. Step 3: Cross multiply
    68,477.81x = 102,716.75 × 21,730.69
  4. Step 4: Simplify right side
    68,477.81x = 2,232,105,649.59
  5. Step 5: Solve for x
    x = 2,232,105,649.59/68,477.81
  6. Step 6: Final answer
    x = 32,596.04

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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.