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Finding the Fourth Proportional to 76,917.78, 106,146.48 and 43,383.78

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Solution

The fourth proportional to 76,917.78, 106,146.48 and 43,383.78 is: 59,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,917.78 : 106,146.48 = 43,383.78 : x
  2. Step 2: Convert to fraction form
    76,917.78/106,146.48 = 43,383.78/x
  3. Step 3: Cross multiply
    76,917.78x = 106,146.48 × 43,383.78
  4. Step 4: Simplify right side
    76,917.78x = 4,605,035,536.09
  5. Step 5: Solve for x
    x = 4,605,035,536.09/76,917.78
  6. Step 6: Final answer
    x = 59,869.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.