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Finding the Fourth Proportional to 115,816, 159,826.08 and 65,513.92

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Solution

The fourth proportional to 115,816, 159,826.08 and 65,513.92 is: 90,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,816 : 159,826.08 = 65,513.92 : x
  2. Step 2: Convert to fraction form
    115,816/159,826.08 = 65,513.92/x
  3. Step 3: Cross multiply
    115,816x = 159,826.08 × 65,513.92
  4. Step 4: Simplify right side
    115,816x = 10,470,833,019.03
  5. Step 5: Solve for x
    x = 10,470,833,019.03/115,816
  6. Step 6: Final answer
    x = 90,409.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.