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Finding the Fourth Proportional to 208,413.60, 287,597.16 and 132,954

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Solution

The fourth proportional to 208,413.60, 287,597.16 and 132,954 is: 183,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.60 : 287,597.16 = 132,954 : x
  2. Step 2: Convert to fraction form
    208,413.60/287,597.16 = 132,954/x
  3. Step 3: Cross multiply
    208,413.60x = 287,597.16 × 132,954
  4. Step 4: Simplify right side
    208,413.60x = 38,237,192,810.64
  5. Step 5: Solve for x
    x = 38,237,192,810.64/208,413.60
  6. Step 6: Final answer
    x = 183,467.84

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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.