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Finding the Fourth Proportional to 100,530, 138,720.96 and 58,102.08

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Solution

The fourth proportional to 100,530, 138,720.96 and 58,102.08 is: 80,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530 : 138,720.96 = 58,102.08 : x
  2. Step 2: Convert to fraction form
    100,530/138,720.96 = 58,102.08/x
  3. Step 3: Cross multiply
    100,530x = 138,720.96 × 58,102.08
  4. Step 4: Simplify right side
    100,530x = 8,059,976,315.60
  5. Step 5: Solve for x
    x = 8,059,976,315.60/100,530
  6. Step 6: Final answer
    x = 80,174.84

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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.