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Finding the Fourth Proportional to 138,998.79, 208,419.19 and 54,713.27

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Solution

The fourth proportional to 138,998.79, 208,419.19 and 54,713.27 is: 82,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998.79 : 208,419.19 = 54,713.27 : x
  2. Step 2: Convert to fraction form
    138,998.79/208,419.19 = 54,713.27/x
  3. Step 3: Cross multiply
    138,998.79x = 208,419.19 × 54,713.27
  4. Step 4: Simplify right side
    138,998.79x = 11,403,295,415.65
  5. Step 5: Solve for x
    x = 11,403,295,415.65/138,998.79
  6. Step 6: Final answer
    x = 82,038.81

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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.