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Finding the Fourth Proportional to 68,378.49, 102,369.11 and 39,828.39

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Solution

The fourth proportional to 68,378.49, 102,369.11 and 39,828.39 is: 59,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,378.49 : 102,369.11 = 39,828.39 : x
  2. Step 2: Convert to fraction form
    68,378.49/102,369.11 = 39,828.39/x
  3. Step 3: Cross multiply
    68,378.49x = 102,369.11 × 39,828.39
  4. Step 4: Simplify right side
    68,378.49x = 4,077,196,637.89
  5. Step 5: Solve for x
    x = 4,077,196,637.89/68,378.49
  6. Step 6: Final answer
    x = 59,626.89

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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.