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Finding the Fourth Proportional to 135,649.89, 187,187.72 and 75,218.31

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Solution

The fourth proportional to 135,649.89, 187,187.72 and 75,218.31 is: 103,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649.89 : 187,187.72 = 75,218.31 : x
  2. Step 2: Convert to fraction form
    135,649.89/187,187.72 = 75,218.31/x
  3. Step 3: Cross multiply
    135,649.89x = 187,187.72 × 75,218.31
  4. Step 4: Simplify right side
    135,649.89x = 14,079,943,575.06
  5. Step 5: Solve for x
    x = 14,079,943,575.06/135,649.89
  6. Step 6: Final answer
    x = 103,796.20

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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.