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Finding the Fourth Proportional to 138,930.99, 208,405.67 and 54,684.51

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Solution

The fourth proportional to 138,930.99, 208,405.67 and 54,684.51 is: 82,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,930.99 : 208,405.67 = 54,684.51 : x
  2. Step 2: Convert to fraction form
    138,930.99/208,405.67 = 54,684.51/x
  3. Step 3: Cross multiply
    138,930.99x = 208,405.67 × 54,684.51
  4. Step 4: Simplify right side
    138,930.99x = 11,396,561,671.75
  5. Step 5: Solve for x
    x = 11,396,561,671.75/138,930.99
  6. Step 6: Final answer
    x = 82,030.38

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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.