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Finding the Fourth Proportional to 137,674.71, 189,968.09 and 81,097.29

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Solution

The fourth proportional to 137,674.71, 189,968.09 and 81,097.29 is: 111,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,674.71 : 189,968.09 = 81,097.29 : x
  2. Step 2: Convert to fraction form
    137,674.71/189,968.09 = 81,097.29/x
  3. Step 3: Cross multiply
    137,674.71x = 189,968.09 × 81,097.29
  4. Step 4: Simplify right side
    137,674.71x = 15,405,896,879.99
  5. Step 5: Solve for x
    x = 15,405,896,879.99/137,674.71
  6. Step 6: Final answer
    x = 111,900.70

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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.