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Finding the Fourth Proportional to 43,602.78, 65,413.86 and 15,900.78

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Solution

The fourth proportional to 43,602.78, 65,413.86 and 15,900.78 is: 23,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,602.78 : 65,413.86 = 15,900.78 : x
  2. Step 2: Convert to fraction form
    43,602.78/65,413.86 = 15,900.78/x
  3. Step 3: Cross multiply
    43,602.78x = 65,413.86 × 15,900.78
  4. Step 4: Simplify right side
    43,602.78x = 1,040,131,396.81
  5. Step 5: Solve for x
    x = 1,040,131,396.81/43,602.78
  6. Step 6: Final answer
    x = 23,854.70

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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.