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Finding the Fourth Proportional to 73,945.50, 102,047.31 and 40,413.66

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Solution

The fourth proportional to 73,945.50, 102,047.31 and 40,413.66 is: 55,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,945.50 : 102,047.31 = 40,413.66 : x
  2. Step 2: Convert to fraction form
    73,945.50/102,047.31 = 40,413.66/x
  3. Step 3: Cross multiply
    73,945.50x = 102,047.31 × 40,413.66
  4. Step 4: Simplify right side
    73,945.50x = 4,124,105,290.25
  5. Step 5: Solve for x
    x = 4,124,105,290.25/73,945.50
  6. Step 6: Final answer
    x = 55,772.23

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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.