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Finding the Fourth Proportional to 138,943.65, 208,694.48 and 82,893.12

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Solution

The fourth proportional to 138,943.65, 208,694.48 and 82,893.12 is: 124,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,943.65 : 208,694.48 = 82,893.12 : x
  2. Step 2: Convert to fraction form
    138,943.65/208,694.48 = 82,893.12/x
  3. Step 3: Cross multiply
    138,943.65x = 208,694.48 × 82,893.12
  4. Step 4: Simplify right side
    138,943.65x = 17,299,336,550.81
  5. Step 5: Solve for x
    x = 17,299,336,550.81/138,943.65
  6. Step 6: Final answer
    x = 124,506.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.