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Finding the Fourth Proportional to 138,755.36, 208,109.76 and 49,992.32

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Solution

The fourth proportional to 138,755.36, 208,109.76 and 49,992.32 is: 74,980.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755.36 : 208,109.76 = 49,992.32 : x
  2. Step 2: Convert to fraction form
    138,755.36/208,109.76 = 49,992.32/x
  3. Step 3: Cross multiply
    138,755.36x = 208,109.76 × 49,992.32
  4. Step 4: Simplify right side
    138,755.36x = 10,403,889,717.04
  5. Step 5: Solve for x
    x = 10,403,889,717.04/138,755.36
  6. Step 6: Final answer
    x = 74,980.09

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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.