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Finding the Fourth Proportional to 138,464.82, 208,130.76 and 91,382.48

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Solution

The fourth proportional to 138,464.82, 208,130.76 and 91,382.48 is: 137,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,464.82 : 208,130.76 = 91,382.48 : x
  2. Step 2: Convert to fraction form
    138,464.82/208,130.76 = 91,382.48/x
  3. Step 3: Cross multiply
    138,464.82x = 208,130.76 × 91,382.48
  4. Step 4: Simplify right side
    138,464.82x = 19,019,503,972.43
  5. Step 5: Solve for x
    x = 19,019,503,972.43/138,464.82
  6. Step 6: Final answer
    x = 137,359.83

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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.