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Finding the Fourth Proportional to 208,413.41, 287,504.84 and 131,803.40

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Solution

The fourth proportional to 208,413.41, 287,504.84 and 131,803.40 is: 181,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.41 : 287,504.84 = 131,803.40 : x
  2. Step 2: Convert to fraction form
    208,413.41/287,504.84 = 131,803.40/x
  3. Step 3: Cross multiply
    208,413.41x = 287,504.84 × 131,803.40
  4. Step 4: Simplify right side
    208,413.41x = 37,894,116,476.73
  5. Step 5: Solve for x
    x = 37,894,116,476.73/208,413.41
  6. Step 6: Final answer
    x = 181,821.88

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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.