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Finding the Fourth Proportional to 100,524.69, 138,727.31 and 58,083.21

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Solution

The fourth proportional to 100,524.69, 138,727.31 and 58,083.21 is: 80,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.69 : 138,727.31 = 58,083.21 : x
  2. Step 2: Convert to fraction form
    100,524.69/138,727.31 = 58,083.21/x
  3. Step 3: Cross multiply
    100,524.69x = 138,727.31 × 58,083.21
  4. Step 4: Simplify right side
    100,524.69x = 8,057,727,189.05
  5. Step 5: Solve for x
    x = 8,057,727,189.05/100,524.69
  6. Step 6: Final answer
    x = 80,156.70

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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.