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Finding the Fourth Proportional to 138,726.80, 208,090.20 and 75,741.20

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Solution

The fourth proportional to 138,726.80, 208,090.20 and 75,741.20 is: 113,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726.80 : 208,090.20 = 75,741.20 : x
  2. Step 2: Convert to fraction form
    138,726.80/208,090.20 = 75,741.20/x
  3. Step 3: Cross multiply
    138,726.80x = 208,090.20 × 75,741.20
  4. Step 4: Simplify right side
    138,726.80x = 15,761,001,456.24
  5. Step 5: Solve for x
    x = 15,761,001,456.24/138,726.80
  6. Step 6: Final answer
    x = 113,611.80

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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.