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Finding the Fourth Proportional to 100,611.74, 138,833.01 and 80,461.28

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Solution

The fourth proportional to 100,611.74, 138,833.01 and 80,461.28 is: 111,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611.74 : 138,833.01 = 80,461.28 : x
  2. Step 2: Convert to fraction form
    100,611.74/138,833.01 = 80,461.28/x
  3. Step 3: Cross multiply
    100,611.74x = 138,833.01 × 80,461.28
  4. Step 4: Simplify right side
    100,611.74x = 11,170,680,996.69
  5. Step 5: Solve for x
    x = 11,170,680,996.69/100,611.74
  6. Step 6: Final answer
    x = 111,027.62

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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.