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Finding the Fourth Proportional to 135,805.82, 187,420.97 and 78,447.56

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Solution

The fourth proportional to 135,805.82, 187,420.97 and 78,447.56 is: 108,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,805.82 : 187,420.97 = 78,447.56 : x
  2. Step 2: Convert to fraction form
    135,805.82/187,420.97 = 78,447.56/x
  3. Step 3: Cross multiply
    135,805.82x = 187,420.97 × 78,447.56
  4. Step 4: Simplify right side
    135,805.82x = 14,702,717,048.35
  5. Step 5: Solve for x
    x = 14,702,717,048.35/135,805.82
  6. Step 6: Final answer
    x = 108,262.79

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1.5x scale

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.