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Finding the Fourth Proportional to 56,906.97, 78,531.62 and 31,413.34

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Solution

The fourth proportional to 56,906.97, 78,531.62 and 31,413.34 is: 43,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.97 : 78,531.62 = 31,413.34 : x
  2. Step 2: Convert to fraction form
    56,906.97/78,531.62 = 31,413.34/x
  3. Step 3: Cross multiply
    56,906.97x = 78,531.62 × 31,413.34
  4. Step 4: Simplify right side
    56,906.97x = 2,466,940,479.81
  5. Step 5: Solve for x
    x = 2,466,940,479.81/56,906.97
  6. Step 6: Final answer
    x = 43,350.41

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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.