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Finding the Fourth Proportional to 81,407.97, 122,095.35 and 51,413.13

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Solution

The fourth proportional to 81,407.97, 122,095.35 and 51,413.13 is: 77,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,407.97 : 122,095.35 = 51,413.13 : x
  2. Step 2: Convert to fraction form
    81,407.97/122,095.35 = 51,413.13/x
  3. Step 3: Cross multiply
    81,407.97x = 122,095.35 × 51,413.13
  4. Step 4: Simplify right side
    81,407.97x = 6,277,304,101.95
  5. Step 5: Solve for x
    x = 6,277,304,101.95/81,407.97
  6. Step 6: Final answer
    x = 77,109.21

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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.