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Finding the Fourth Proportional to 68,156.76, 102,238.78 and 21,413.28

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Solution

The fourth proportional to 68,156.76, 102,238.78 and 21,413.28 is: 32,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156.76 : 102,238.78 = 21,413.28 : x
  2. Step 2: Convert to fraction form
    68,156.76/102,238.78 = 21,413.28/x
  3. Step 3: Cross multiply
    68,156.76x = 102,238.78 × 21,413.28
  4. Step 4: Simplify right side
    68,156.76x = 2,189,267,623.00
  5. Step 5: Solve for x
    x = 2,189,267,623.00/68,156.76
  6. Step 6: Final answer
    x = 32,121.06

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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.