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Finding the Fourth Proportional to 182,109.80, 251,314.64 and 100,447.43

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Solution

The fourth proportional to 182,109.80, 251,314.64 and 100,447.43 is: 138,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,109.80 : 251,314.64 = 100,447.43 : x
  2. Step 2: Convert to fraction form
    182,109.80/251,314.64 = 100,447.43/x
  3. Step 3: Cross multiply
    182,109.80x = 251,314.64 × 100,447.43
  4. Step 4: Simplify right side
    182,109.80x = 25,243,909,709.38
  5. Step 5: Solve for x
    x = 25,243,909,709.38/182,109.80
  6. Step 6: Final answer
    x = 138,619.17

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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.