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Finding the Fourth Proportional to 74,413.67, 102,691.67 and 40,422.56

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Solution

The fourth proportional to 74,413.67, 102,691.67 and 40,422.56 is: 55,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,413.67 : 102,691.67 = 40,422.56 : x
  2. Step 2: Convert to fraction form
    74,413.67/102,691.67 = 40,422.56/x
  3. Step 3: Cross multiply
    74,413.67x = 102,691.67 × 40,422.56
  4. Step 4: Simplify right side
    74,413.67x = 4,151,059,476.50
  5. Step 5: Solve for x
    x = 4,151,059,476.50/74,413.67
  6. Step 6: Final answer
    x = 55,783.56

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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.