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Finding the Fourth Proportional to 90,744.40, 135,857.40 and 81,413.20

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Solution

The fourth proportional to 90,744.40, 135,857.40 and 81,413.20 is: 121,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,744.40 : 135,857.40 = 81,413.20 : x
  2. Step 2: Convert to fraction form
    90,744.40/135,857.40 = 81,413.20/x
  3. Step 3: Cross multiply
    90,744.40x = 135,857.40 × 81,413.20
  4. Step 4: Simplify right side
    90,744.40x = 11,060,585,677.68
  5. Step 5: Solve for x
    x = 11,060,585,677.68/90,744.40
  6. Step 6: Final answer
    x = 121,887.25

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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.