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Finding the Fourth Proportional to 68,178, 102,329.04 and 34,920.96

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Solution

The fourth proportional to 68,178, 102,329.04 and 34,920.96 is: 52,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178 : 102,329.04 = 34,920.96 : x
  2. Step 2: Convert to fraction form
    68,178/102,329.04 = 34,920.96/x
  3. Step 3: Cross multiply
    68,178x = 102,329.04 × 34,920.96
  4. Step 4: Simplify right side
    68,178x = 3,573,428,312.68
  5. Step 5: Solve for x
    x = 3,573,428,312.68/68,178
  6. Step 6: Final answer
    x = 52,413.22

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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.