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Finding the Fourth Proportional to 115,767.70, 159,784.25 and 75,409.45

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Solution

The fourth proportional to 115,767.70, 159,784.25 and 75,409.45 is: 104,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,767.70 : 159,784.25 = 75,409.45 : x
  2. Step 2: Convert to fraction form
    115,767.70/159,784.25 = 75,409.45/x
  3. Step 3: Cross multiply
    115,767.70x = 159,784.25 × 75,409.45
  4. Step 4: Simplify right side
    115,767.70x = 12,049,241,634.65
  5. Step 5: Solve for x
    x = 12,049,241,634.65/115,767.70
  6. Step 6: Final answer
    x = 104,081.21

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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.