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Finding the Fourth Proportional to 135,976.88, 203,934.52 and 51,707

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Solution

The fourth proportional to 135,976.88, 203,934.52 and 51,707 is: 77,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976.88 : 203,934.52 = 51,707 : x
  2. Step 2: Convert to fraction form
    135,976.88/203,934.52 = 51,707/x
  3. Step 3: Cross multiply
    135,976.88x = 203,934.52 × 51,707
  4. Step 4: Simplify right side
    135,976.88x = 10,544,842,225.64
  5. Step 5: Solve for x
    x = 10,544,842,225.64/135,976.88
  6. Step 6: Final answer
    x = 77,548.79

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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.