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Finding the Fourth Proportional to 56,906.80, 78,531.38 and 31,413.18

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Solution

The fourth proportional to 56,906.80, 78,531.38 and 31,413.18 is: 43,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,906.80 : 78,531.38 = 31,413.18 : x
  2. Step 2: Convert to fraction form
    56,906.80/78,531.38 = 31,413.18/x
  3. Step 3: Cross multiply
    56,906.80x = 78,531.38 × 31,413.18
  4. Step 4: Simplify right side
    56,906.80x = 2,466,920,375.59
  5. Step 5: Solve for x
    x = 2,466,920,375.59/56,906.80
  6. Step 6: Final answer
    x = 43,350.19

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1.5x scale

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.