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Finding the Fourth Proportional to 128,382.40, 192,413.16 and 61,804.72

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Solution

The fourth proportional to 128,382.40, 192,413.16 and 61,804.72 is: 92,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,382.40 : 192,413.16 = 61,804.72 : x
  2. Step 2: Convert to fraction form
    128,382.40/192,413.16 = 61,804.72/x
  3. Step 3: Cross multiply
    128,382.40x = 192,413.16 × 61,804.72
  4. Step 4: Simplify right side
    128,382.40x = 11,892,041,478.12
  5. Step 5: Solve for x
    x = 11,892,041,478.12/128,382.40
  6. Step 6: Final answer
    x = 92,629.84

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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.