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Finding the Fourth Proportional to 140,075.77, 193,304.16 and 76,413.11

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Solution

The fourth proportional to 140,075.77, 193,304.16 and 76,413.11 is: 105,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,075.77 : 193,304.16 = 76,413.11 : x
  2. Step 2: Convert to fraction form
    140,075.77/193,304.16 = 76,413.11/x
  3. Step 3: Cross multiply
    140,075.77x = 193,304.16 × 76,413.11
  4. Step 4: Simplify right side
    140,075.77x = 14,770,972,524.80
  5. Step 5: Solve for x
    x = 14,770,972,524.80/140,075.77
  6. Step 6: Final answer
    x = 105,449.88

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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.