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Finding the Fourth Proportional to 115,422.75, 159,286.08 and 72,404.06

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Solution

The fourth proportional to 115,422.75, 159,286.08 and 72,404.06 is: 99,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422.75 : 159,286.08 = 72,404.06 : x
  2. Step 2: Convert to fraction form
    115,422.75/159,286.08 = 72,404.06/x
  3. Step 3: Cross multiply
    115,422.75x = 159,286.08 × 72,404.06
  4. Step 4: Simplify right side
    115,422.75x = 11,532,958,097.05
  5. Step 5: Solve for x
    x = 11,532,958,097.05/115,422.75
  6. Step 6: Final answer
    x = 99,919.28

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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.