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Finding the Fourth Proportional to 81,878.64, 112,991.40 and 47,910.48

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Solution

The fourth proportional to 81,878.64, 112,991.40 and 47,910.48 is: 66,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.64 : 112,991.40 = 47,910.48 : x
  2. Step 2: Convert to fraction form
    81,878.64/112,991.40 = 47,910.48/x
  3. Step 3: Cross multiply
    81,878.64x = 112,991.40 × 47,910.48
  4. Step 4: Simplify right side
    81,878.64x = 5,413,472,209.87
  5. Step 5: Solve for x
    x = 5,413,472,209.87/81,878.64
  6. Step 6: Final answer
    x = 66,115.81

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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.