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Finding the Fourth Proportional to 119,159.96, 178,739.78 and 30,413.46

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Solution

The fourth proportional to 119,159.96, 178,739.78 and 30,413.46 is: 45,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159.96 : 178,739.78 = 30,413.46 : x
  2. Step 2: Convert to fraction form
    119,159.96/178,739.78 = 30,413.46/x
  3. Step 3: Cross multiply
    119,159.96x = 178,739.78 × 30,413.46
  4. Step 4: Simplify right side
    119,159.96x = 5,436,095,149.44
  5. Step 5: Solve for x
    x = 5,436,095,149.44/119,159.96
  6. Step 6: Final answer
    x = 45,620.15

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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.