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Finding the Fourth Proportional to 137,322.22, 189,471.99 and 83,606.62

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Solution

The fourth proportional to 137,322.22, 189,471.99 and 83,606.62 is: 115,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.22 : 189,471.99 = 83,606.62 : x
  2. Step 2: Convert to fraction form
    137,322.22/189,471.99 = 83,606.62/x
  3. Step 3: Cross multiply
    137,322.22x = 189,471.99 × 83,606.62
  4. Step 4: Simplify right side
    137,322.22x = 15,841,112,668.57
  5. Step 5: Solve for x
    x = 15,841,112,668.57/137,322.22
  6. Step 6: Final answer
    x = 115,357.24

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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.