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Finding the Fourth Proportional to 218,932.81, 328,413.09 and 92,549.50

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Solution

The fourth proportional to 218,932.81, 328,413.09 and 92,549.50 is: 138,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932.81 : 328,413.09 = 92,549.50 : x
  2. Step 2: Convert to fraction form
    218,932.81/328,413.09 = 92,549.50/x
  3. Step 3: Cross multiply
    218,932.81x = 328,413.09 × 92,549.50
  4. Step 4: Simplify right side
    218,932.81x = 30,394,467,272.96
  5. Step 5: Solve for x
    x = 30,394,467,272.96/218,932.81
  6. Step 6: Final answer
    x = 138,830.12

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Why These Related Problems?

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