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Finding the Fourth Proportional to 137,573.28, 189,891.68 and 89,834.08

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Solution

The fourth proportional to 137,573.28, 189,891.68 and 89,834.08 is: 123,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,573.28 : 189,891.68 = 89,834.08 : x
  2. Step 2: Convert to fraction form
    137,573.28/189,891.68 = 89,834.08/x
  3. Step 3: Cross multiply
    137,573.28x = 189,891.68 × 89,834.08
  4. Step 4: Simplify right side
    137,573.28x = 17,058,744,372.45
  5. Step 5: Solve for x
    x = 17,058,744,372.45/137,573.28
  6. Step 6: Final answer
    x = 123,997.51

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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.