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Finding the Fourth Proportional to 135,450.92, 186,908.04 and 75,019.98

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Solution

The fourth proportional to 135,450.92, 186,908.04 and 75,019.98 is: 103,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,450.92 : 186,908.04 = 75,019.98 : x
  2. Step 2: Convert to fraction form
    135,450.92/186,908.04 = 75,019.98/x
  3. Step 3: Cross multiply
    135,450.92x = 186,908.04 × 75,019.98
  4. Step 4: Simplify right side
    135,450.92x = 14,021,837,422.64
  5. Step 5: Solve for x
    x = 14,021,837,422.64/135,450.92
  6. Step 6: Final answer
    x = 103,519.69

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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.