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Finding the Fourth Proportional to 100,377.13, 138,532.01 and 60,090.88

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Solution

The fourth proportional to 100,377.13, 138,532.01 and 60,090.88 is: 82,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377.13 : 138,532.01 = 60,090.88 : x
  2. Step 2: Convert to fraction form
    100,377.13/138,532.01 = 60,090.88/x
  3. Step 3: Cross multiply
    100,377.13x = 138,532.01 × 60,090.88
  4. Step 4: Simplify right side
    100,377.13x = 8,324,509,742.28
  5. Step 5: Solve for x
    x = 8,324,509,742.28/100,377.13
  6. Step 6: Final answer
    x = 82,932.34

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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.