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Finding the Fourth Proportional to 128,413.50, 177,211.32 and 71,824.86

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Solution

The fourth proportional to 128,413.50, 177,211.32 and 71,824.86 is: 99,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,413.50 : 177,211.32 = 71,824.86 : x
  2. Step 2: Convert to fraction form
    128,413.50/177,211.32 = 71,824.86/x
  3. Step 3: Cross multiply
    128,413.50x = 177,211.32 × 71,824.86
  4. Step 4: Simplify right side
    128,413.50x = 12,728,178,249.42
  5. Step 5: Solve for x
    x = 12,728,178,249.42/128,413.50
  6. Step 6: Final answer
    x = 99,118.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.