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Finding the Fourth Proportional to 76,991.12, 115,287.32 and 65,968.40

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Solution

The fourth proportional to 76,991.12, 115,287.32 and 65,968.40 is: 98,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,991.12 : 115,287.32 = 65,968.40 : x
  2. Step 2: Convert to fraction form
    76,991.12/115,287.32 = 65,968.40/x
  3. Step 3: Cross multiply
    76,991.12x = 115,287.32 × 65,968.40
  4. Step 4: Simplify right side
    76,991.12x = 7,605,320,040.69
  5. Step 5: Solve for x
    x = 7,605,320,040.69/76,991.12
  6. Step 6: Final answer
    x = 98,781.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.