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Finding the Fourth Proportional to 138,957.04, 208,498.44 and 54,694

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Solution

The fourth proportional to 138,957.04, 208,498.44 and 54,694 is: 82,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.04 : 208,498.44 = 54,694 : x
  2. Step 2: Convert to fraction form
    138,957.04/208,498.44 = 54,694/x
  3. Step 3: Cross multiply
    138,957.04x = 208,498.44 × 54,694
  4. Step 4: Simplify right side
    138,957.04x = 11,403,613,677.36
  5. Step 5: Solve for x
    x = 11,403,613,677.36/138,957.04
  6. Step 6: Final answer
    x = 82,065.75

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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.