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Finding the Fourth Proportional to 105,902.79, 158,890.64 and 66,413.67

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Solution

The fourth proportional to 105,902.79, 158,890.64 and 66,413.67 is: 99,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902.79 : 158,890.64 = 66,413.67 : x
  2. Step 2: Convert to fraction form
    105,902.79/158,890.64 = 66,413.67/x
  3. Step 3: Cross multiply
    105,902.79x = 158,890.64 × 66,413.67
  4. Step 4: Simplify right side
    105,902.79x = 10,552,510,198.98
  5. Step 5: Solve for x
    x = 10,552,510,198.98/105,902.79
  6. Step 6: Final answer
    x = 99,643.36

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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.