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Finding the Fourth Proportional to 538,112.88, 807,179.04 and 138,762

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Solution

The fourth proportional to 538,112.88, 807,179.04 and 138,762 is: 208,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,112.88 : 807,179.04 = 138,762 : x
  2. Step 2: Convert to fraction form
    538,112.88/807,179.04 = 138,762/x
  3. Step 3: Cross multiply
    538,112.88x = 807,179.04 × 138,762
  4. Step 4: Simplify right side
    538,112.88x = 112,005,777,948.48
  5. Step 5: Solve for x
    x = 112,005,777,948.48/538,112.88
  6. Step 6: Final answer
    x = 208,145.51

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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.