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Finding the Fourth Proportional to 115,068.75, 158,713.07 and 76,809

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Solution

The fourth proportional to 115,068.75, 158,713.07 and 76,809 is: 105,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,068.75 : 158,713.07 = 76,809 : x
  2. Step 2: Convert to fraction form
    115,068.75/158,713.07 = 76,809/x
  3. Step 3: Cross multiply
    115,068.75x = 158,713.07 × 76,809
  4. Step 4: Simplify right side
    115,068.75x = 12,190,591,809.59
  5. Step 5: Solve for x
    x = 12,190,591,809.59/115,068.75
  6. Step 6: Final answer
    x = 105,941.81

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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.