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Finding the Fourth Proportional to 138,997.79, 208,417.69 and 54,712.27

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Solution

The fourth proportional to 138,997.79, 208,417.69 and 54,712.27 is: 82,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,997.79 : 208,417.69 = 54,712.27 : x
  2. Step 2: Convert to fraction form
    138,997.79/208,417.69 = 54,712.27/x
  3. Step 3: Cross multiply
    138,997.79x = 208,417.69 × 54,712.27
  4. Step 4: Simplify right side
    138,997.79x = 11,403,004,928.06
  5. Step 5: Solve for x
    x = 11,403,004,928.06/138,997.79
  6. Step 6: Final answer
    x = 82,037.31

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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.