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Finding the Fourth Proportional to 81,887.78, 113,005.05 and 47,919.62

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Solution

The fourth proportional to 81,887.78, 113,005.05 and 47,919.62 is: 66,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887.78 : 113,005.05 = 47,919.62 : x
  2. Step 2: Convert to fraction form
    81,887.78/113,005.05 = 47,919.62/x
  3. Step 3: Cross multiply
    81,887.78x = 113,005.05 × 47,919.62
  4. Step 4: Simplify right side
    81,887.78x = 5,415,159,054.08
  5. Step 5: Solve for x
    x = 5,415,159,054.08/81,887.78
  6. Step 6: Final answer
    x = 66,129.03

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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.