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Finding the Fourth Proportional to 68,204.80, 102,312.24 and 18,284.80

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Solution

The fourth proportional to 68,204.80, 102,312.24 and 18,284.80 is: 27,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,204.80 : 102,312.24 = 18,284.80 : x
  2. Step 2: Convert to fraction form
    68,204.80/102,312.24 = 18,284.80/x
  3. Step 3: Cross multiply
    68,204.80x = 102,312.24 × 18,284.80
  4. Step 4: Simplify right side
    68,204.80x = 1,870,758,845.95
  5. Step 5: Solve for x
    x = 1,870,758,845.95/68,204.80
  6. Step 6: Final answer
    x = 27,428.55

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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.