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Finding the Fourth Proportional to 103,413.85, 155,120.78 and 103,413.85

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Solution

The fourth proportional to 103,413.85, 155,120.78 and 103,413.85 is: 155,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.85 : 155,120.78 = 103,413.85 : x
  2. Step 2: Convert to fraction form
    103,413.85/155,120.78 = 103,413.85/x
  3. Step 3: Cross multiply
    103,413.85x = 155,120.78 × 103,413.85
  4. Step 4: Simplify right side
    103,413.85x = 16,041,637,074.80
  5. Step 5: Solve for x
    x = 16,041,637,074.80/103,413.85
  6. Step 6: Final answer
    x = 155,120.78

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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.