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Finding the Fourth Proportional to 75,413.18, 113,134.34 and 28,662.42

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Solution

The fourth proportional to 75,413.18, 113,134.34 and 28,662.42 is: 42,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.18 : 113,134.34 = 28,662.42 : x
  2. Step 2: Convert to fraction form
    75,413.18/113,134.34 = 28,662.42/x
  3. Step 3: Cross multiply
    75,413.18x = 113,134.34 × 28,662.42
  4. Step 4: Simplify right side
    75,413.18x = 3,242,703,969.50
  5. Step 5: Solve for x
    x = 3,242,703,969.50/75,413.18
  6. Step 6: Final answer
    x = 42,999.17

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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.