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Finding the Fourth Proportional to 115,107.59, 158,872.97 and 77,359.97

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Solution

The fourth proportional to 115,107.59, 158,872.97 and 77,359.97 is: 106,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,107.59 : 158,872.97 = 77,359.97 : x
  2. Step 2: Convert to fraction form
    115,107.59/158,872.97 = 77,359.97/x
  3. Step 3: Cross multiply
    115,107.59x = 158,872.97 × 77,359.97
  4. Step 4: Simplify right side
    115,107.59x = 12,290,407,592.05
  5. Step 5: Solve for x
    x = 12,290,407,592.05/115,107.59
  6. Step 6: Final answer
    x = 106,773.22

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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.