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Finding the Fourth Proportional to 158,413.14, 218,610.09 and 86,795.88

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Solution

The fourth proportional to 158,413.14, 218,610.09 and 86,795.88 is: 119,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,413.14 : 218,610.09 = 86,795.88 : x
  2. Step 2: Convert to fraction form
    158,413.14/218,610.09 = 86,795.88/x
  3. Step 3: Cross multiply
    158,413.14x = 218,610.09 × 86,795.88
  4. Step 4: Simplify right side
    158,413.14x = 18,974,455,138.43
  5. Step 5: Solve for x
    x = 18,974,455,138.43/158,413.14
  6. Step 6: Final answer
    x = 119,778.29

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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.