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Finding the Fourth Proportional to 103,413.15, 154,955.70 and 68,311.80

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Solution

The fourth proportional to 103,413.15, 154,955.70 and 68,311.80 is: 102,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.15 : 154,955.70 = 68,311.80 : x
  2. Step 2: Convert to fraction form
    103,413.15/154,955.70 = 68,311.80/x
  3. Step 3: Cross multiply
    103,413.15x = 154,955.70 × 68,311.80
  4. Step 4: Simplify right side
    103,413.15x = 10,585,302,787.26
  5. Step 5: Solve for x
    x = 10,585,302,787.26/103,413.15
  6. Step 6: Final answer
    x = 102,359.35

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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.