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Finding the Fourth Proportional to 100,181.69, 138,250.73 and 57,742.96

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Solution

The fourth proportional to 100,181.69, 138,250.73 and 57,742.96 is: 79,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181.69 : 138,250.73 = 57,742.96 : x
  2. Step 2: Convert to fraction form
    100,181.69/138,250.73 = 57,742.96/x
  3. Step 3: Cross multiply
    100,181.69x = 138,250.73 × 57,742.96
  4. Step 4: Simplify right side
    100,181.69x = 7,983,006,372.36
  5. Step 5: Solve for x
    x = 7,983,006,372.36/100,181.69
  6. Step 6: Final answer
    x = 79,685.28

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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.