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Finding the Fourth Proportional to 100,424.42, 138,597.99 and 57,982.88

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Solution

The fourth proportional to 100,424.42, 138,597.99 and 57,982.88 is: 80,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.42 : 138,597.99 = 57,982.88 : x
  2. Step 2: Convert to fraction form
    100,424.42/138,597.99 = 57,982.88/x
  3. Step 3: Cross multiply
    100,424.42x = 138,597.99 × 57,982.88
  4. Step 4: Simplify right side
    100,424.42x = 8,036,310,622.41
  5. Step 5: Solve for x
    x = 8,036,310,622.41/100,424.42
  6. Step 6: Final answer
    x = 80,023.47

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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.