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Finding the Fourth Proportional to 81,731.76, 112,852.81 and 65,886.94

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Solution

The fourth proportional to 81,731.76, 112,852.81 and 65,886.94 is: 90,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,731.76 : 112,852.81 = 65,886.94 : x
  2. Step 2: Convert to fraction form
    81,731.76/112,852.81 = 65,886.94/x
  3. Step 3: Cross multiply
    81,731.76x = 112,852.81 × 65,886.94
  4. Step 4: Simplify right side
    81,731.76x = 7,435,526,321.30
  5. Step 5: Solve for x
    x = 7,435,526,321.30/81,731.76
  6. Step 6: Final answer
    x = 90,974.75

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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.