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Finding the Fourth Proportional to 147,871.82, 203,987.31 and 100,108.46

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Solution

The fourth proportional to 147,871.82, 203,987.31 and 100,108.46 is: 138,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,871.82 : 203,987.31 = 100,108.46 : x
  2. Step 2: Convert to fraction form
    147,871.82/203,987.31 = 100,108.46/x
  3. Step 3: Cross multiply
    147,871.82x = 203,987.31 × 100,108.46
  4. Step 4: Simplify right side
    147,871.82x = 20,420,855,463.64
  5. Step 5: Solve for x
    x = 20,420,855,463.64/147,871.82
  6. Step 6: Final answer
    x = 138,098.36

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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.