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Finding the Fourth Proportional to 115,486.56, 159,310.80 and 72,971.28

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Solution

The fourth proportional to 115,486.56, 159,310.80 and 72,971.28 is: 100,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,486.56 : 159,310.80 = 72,971.28 : x
  2. Step 2: Convert to fraction form
    115,486.56/159,310.80 = 72,971.28/x
  3. Step 3: Cross multiply
    115,486.56x = 159,310.80 × 72,971.28
  4. Step 4: Simplify right side
    115,486.56x = 11,625,112,993.82
  5. Step 5: Solve for x
    x = 11,625,112,993.82/115,486.56
  6. Step 6: Final answer
    x = 100,662.04

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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.