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Finding the Fourth Proportional to 137,580.54, 189,791.24 and 89,861.82

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Solution

The fourth proportional to 137,580.54, 189,791.24 and 89,861.82 is: 123,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.54 : 189,791.24 = 89,861.82 : x
  2. Step 2: Convert to fraction form
    137,580.54/189,791.24 = 89,861.82/x
  3. Step 3: Cross multiply
    137,580.54x = 189,791.24 × 89,861.82
  4. Step 4: Simplify right side
    137,580.54x = 17,054,986,246.46
  5. Step 5: Solve for x
    x = 17,054,986,246.46/137,580.54
  6. Step 6: Final answer
    x = 123,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.