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Finding the Fourth Proportional to 68,385.96, 102,584.12 and 18,465.33

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Solution

The fourth proportional to 68,385.96, 102,584.12 and 18,465.33 is: 27,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,385.96 : 102,584.12 = 18,465.33 : x
  2. Step 2: Convert to fraction form
    68,385.96/102,584.12 = 18,465.33/x
  3. Step 3: Cross multiply
    68,385.96x = 102,584.12 × 18,465.33
  4. Step 4: Simplify right side
    68,385.96x = 1,894,249,290.03
  5. Step 5: Solve for x
    x = 1,894,249,290.03/68,385.96
  6. Step 6: Final answer
    x = 27,699.39

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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.