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Finding the Fourth Proportional to 243,171.75, 364,759.25 and 76,959.75

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Solution

The fourth proportional to 243,171.75, 364,759.25 and 76,959.75 is: 115,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,171.75 : 364,759.25 = 76,959.75 : x
  2. Step 2: Convert to fraction form
    243,171.75/364,759.25 = 76,959.75/x
  3. Step 3: Cross multiply
    243,171.75x = 364,759.25 × 76,959.75
  4. Step 4: Simplify right side
    243,171.75x = 28,071,780,305.39
  5. Step 5: Solve for x
    x = 28,071,780,305.39/243,171.75
  6. Step 6: Final answer
    x = 115,440.14

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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.