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Finding the Fourth Proportional to 253,413.29, 380,132.56 and 75,903.38

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Solution

The fourth proportional to 253,413.29, 380,132.56 and 75,903.38 is: 113,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,413.29 : 380,132.56 = 75,903.38 : x
  2. Step 2: Convert to fraction form
    253,413.29/380,132.56 = 75,903.38/x
  3. Step 3: Cross multiply
    253,413.29x = 380,132.56 × 75,903.38
  4. Step 4: Simplify right side
    253,413.29x = 28,853,345,771.77
  5. Step 5: Solve for x
    x = 28,853,345,771.77/253,413.29
  6. Step 6: Final answer
    x = 113,858.85

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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.