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Finding the Fourth Proportional to 100,854.86, 139,198.37 and 58,413.38

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Solution

The fourth proportional to 100,854.86, 139,198.37 and 58,413.38 is: 80,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,854.86 : 139,198.37 = 58,413.38 : x
  2. Step 2: Convert to fraction form
    100,854.86/139,198.37 = 58,413.38/x
  3. Step 3: Cross multiply
    100,854.86x = 139,198.37 × 58,413.38
  4. Step 4: Simplify right side
    100,854.86x = 8,131,046,294.13
  5. Step 5: Solve for x
    x = 8,131,046,294.13/100,854.86
  6. Step 6: Final answer
    x = 80,621.27

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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.