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Finding the Fourth Proportional to 138,991.99, 208,487.75 and 49,101.12

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Solution

The fourth proportional to 138,991.99, 208,487.75 and 49,101.12 is: 73,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,991.99 : 208,487.75 = 49,101.12 : x
  2. Step 2: Convert to fraction form
    138,991.99/208,487.75 = 49,101.12/x
  3. Step 3: Cross multiply
    138,991.99x = 208,487.75 × 49,101.12
  4. Step 4: Simplify right side
    138,991.99x = 10,236,982,031.28
  5. Step 5: Solve for x
    x = 10,236,982,031.28/138,991.99
  6. Step 6: Final answer
    x = 73,651.60

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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.