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Finding the Fourth Proportional to 105,413.60, 158,120.40 and 105,413.60

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Solution

The fourth proportional to 105,413.60, 158,120.40 and 105,413.60 is: 158,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.60 : 158,120.40 = 105,413.60 : x
  2. Step 2: Convert to fraction form
    105,413.60/158,120.40 = 105,413.60/x
  3. Step 3: Cross multiply
    105,413.60x = 158,120.40 × 105,413.60
  4. Step 4: Simplify right side
    105,413.60x = 16,668,040,597.44
  5. Step 5: Solve for x
    x = 16,668,040,597.44/105,413.60
  6. Step 6: Final answer
    x = 158,120.40

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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.