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Finding the Fourth Proportional to 135,645.52, 187,180.68 and 76,018

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Solution

The fourth proportional to 135,645.52, 187,180.68 and 76,018 is: 104,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645.52 : 187,180.68 = 76,018 : x
  2. Step 2: Convert to fraction form
    135,645.52/187,180.68 = 76,018/x
  3. Step 3: Cross multiply
    135,645.52x = 187,180.68 × 76,018
  4. Step 4: Simplify right side
    135,645.52x = 14,229,100,932.24
  5. Step 5: Solve for x
    x = 14,229,100,932.24/135,645.52
  6. Step 6: Final answer
    x = 104,899.16

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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.