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Finding the Fourth Proportional to 135,649.52, 187,186.20 and 76,022

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Solution

The fourth proportional to 135,649.52, 187,186.20 and 76,022 is: 104,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649.52 : 187,186.20 = 76,022 : x
  2. Step 2: Convert to fraction form
    135,649.52/187,186.20 = 76,022/x
  3. Step 3: Cross multiply
    135,649.52x = 187,186.20 × 76,022
  4. Step 4: Simplify right side
    135,649.52x = 14,230,269,296.40
  5. Step 5: Solve for x
    x = 14,230,269,296.40/135,649.52
  6. Step 6: Final answer
    x = 104,904.68

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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.