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Finding the Fourth Proportional to 115,546.88, 159,456.64 and 67,813.12

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Solution

The fourth proportional to 115,546.88, 159,456.64 and 67,813.12 is: 93,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,546.88 : 159,456.64 = 67,813.12 : x
  2. Step 2: Convert to fraction form
    115,546.88/159,456.64 = 67,813.12/x
  3. Step 3: Cross multiply
    115,546.88x = 159,456.64 × 67,813.12
  4. Step 4: Simplify right side
    115,546.88x = 10,813,252,263.12
  5. Step 5: Solve for x
    x = 10,813,252,263.12/115,546.88
  6. Step 6: Final answer
    x = 93,583.25

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Why These Related Problems?

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