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Finding the Fourth Proportional to 107,413.10, 161,119.65 and 82,501.10

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Solution

The fourth proportional to 107,413.10, 161,119.65 and 82,501.10 is: 123,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,413.10 : 161,119.65 = 82,501.10 : x
  2. Step 2: Convert to fraction form
    107,413.10/161,119.65 = 82,501.10/x
  3. Step 3: Cross multiply
    107,413.10x = 161,119.65 × 82,501.10
  4. Step 4: Simplify right side
    107,413.10x = 13,292,548,356.62
  5. Step 5: Solve for x
    x = 13,292,548,356.62/107,413.10
  6. Step 6: Final answer
    x = 123,751.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.