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Finding the Fourth Proportional to 81,506.52, 112,497.66 and 47,991.96

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Solution

The fourth proportional to 81,506.52, 112,497.66 and 47,991.96 is: 66,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506.52 : 112,497.66 = 47,991.96 : x
  2. Step 2: Convert to fraction form
    81,506.52/112,497.66 = 47,991.96/x
  3. Step 3: Cross multiply
    81,506.52x = 112,497.66 × 47,991.96
  4. Step 4: Simplify right side
    81,506.52x = 5,398,983,198.81
  5. Step 5: Solve for x
    x = 5,398,983,198.81/81,506.52
  6. Step 6: Final answer
    x = 66,239.89

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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.