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Finding the Fourth Proportional to 113,431.77, 170,186.13 and 50,243.40

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Solution

The fourth proportional to 113,431.77, 170,186.13 and 50,243.40 is: 75,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,431.77 : 170,186.13 = 50,243.40 : x
  2. Step 2: Convert to fraction form
    113,431.77/170,186.13 = 50,243.40/x
  3. Step 3: Cross multiply
    113,431.77x = 170,186.13 × 50,243.40
  4. Step 4: Simplify right side
    113,431.77x = 8,550,729,804.04
  5. Step 5: Solve for x
    x = 8,550,729,804.04/113,431.77
  6. Step 6: Final answer
    x = 75,382.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.