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Finding the Fourth Proportional to 135,661.31, 203,464.23 and 51,392.42

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Solution

The fourth proportional to 135,661.31, 203,464.23 and 51,392.42 is: 77,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,661.31 : 203,464.23 = 51,392.42 : x
  2. Step 2: Convert to fraction form
    135,661.31/203,464.23 = 51,392.42/x
  3. Step 3: Cross multiply
    135,661.31x = 203,464.23 × 51,392.42
  4. Step 4: Simplify right side
    135,661.31x = 10,456,518,145.82
  5. Step 5: Solve for x
    x = 10,456,518,145.82/135,661.31
  6. Step 6: Final answer
    x = 77,078.12

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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.