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Finding the Fourth Proportional to 81,871.12, 112,965.04 and 47,872.96

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Solution

The fourth proportional to 81,871.12, 112,965.04 and 47,872.96 is: 66,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.12 : 112,965.04 = 47,872.96 : x
  2. Step 2: Convert to fraction form
    81,871.12/112,965.04 = 47,872.96/x
  3. Step 3: Cross multiply
    81,871.12x = 112,965.04 × 47,872.96
  4. Step 4: Simplify right side
    81,871.12x = 5,407,970,841.32
  5. Step 5: Solve for x
    x = 5,407,970,841.32/81,871.12
  6. Step 6: Final answer
    x = 66,054.68

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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.