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Finding the Fourth Proportional to 137,561.79, 189,765.41 and 89,843.07

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Solution

The fourth proportional to 137,561.79, 189,765.41 and 89,843.07 is: 123,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,561.79 : 189,765.41 = 89,843.07 : x
  2. Step 2: Convert to fraction form
    137,561.79/189,765.41 = 89,843.07/x
  3. Step 3: Cross multiply
    137,561.79x = 189,765.41 × 89,843.07
  4. Step 4: Simplify right side
    137,561.79x = 17,049,106,564.99
  5. Step 5: Solve for x
    x = 17,049,106,564.99/137,561.79
  6. Step 6: Final answer
    x = 123,937.81

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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.