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Finding the Fourth Proportional to 85,413.43, 117,869.93 and 47,175.48

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Solution

The fourth proportional to 85,413.43, 117,869.93 and 47,175.48 is: 65,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,413.43 : 117,869.93 = 47,175.48 : x
  2. Step 2: Convert to fraction form
    85,413.43/117,869.93 = 47,175.48/x
  3. Step 3: Cross multiply
    85,413.43x = 117,869.93 × 47,175.48
  4. Step 4: Simplify right side
    85,413.43x = 5,560,570,643.26
  5. Step 5: Solve for x
    x = 5,560,570,643.26/85,413.43
  6. Step 6: Final answer
    x = 65,101.83

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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.