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Finding the Fourth Proportional to 538,090.43, 807,182.10 and 138,727.80

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Solution

The fourth proportional to 538,090.43, 807,182.10 and 138,727.80 is: 208,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,090.43 : 807,182.10 = 138,727.80 : x
  2. Step 2: Convert to fraction form
    538,090.43/807,182.10 = 138,727.80/x
  3. Step 3: Cross multiply
    538,090.43x = 807,182.10 × 138,727.80
  4. Step 4: Simplify right side
    538,090.43x = 111,978,596,932.38
  5. Step 5: Solve for x
    x = 111,978,596,932.38/538,090.43
  6. Step 6: Final answer
    x = 208,103.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.