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Finding the Fourth Proportional to 139,413.54, 192,387.92 and 75,751.80

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Solution

The fourth proportional to 139,413.54, 192,387.92 and 75,751.80 is: 104,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,413.54 : 192,387.92 = 75,751.80 : x
  2. Step 2: Convert to fraction form
    139,413.54/192,387.92 = 75,751.80/x
  3. Step 3: Cross multiply
    139,413.54x = 192,387.92 × 75,751.80
  4. Step 4: Simplify right side
    139,413.54x = 14,573,731,238.26
  5. Step 5: Solve for x
    x = 14,573,731,238.26/139,413.54
  6. Step 6: Final answer
    x = 104,535.98

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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.