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Finding the Fourth Proportional to 123,199.96, 169,942.54 and 77,797.84

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Solution

The fourth proportional to 123,199.96, 169,942.54 and 77,797.84 is: 107,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,199.96 : 169,942.54 = 77,797.84 : x
  2. Step 2: Convert to fraction form
    123,199.96/169,942.54 = 77,797.84/x
  3. Step 3: Cross multiply
    123,199.96x = 169,942.54 × 77,797.84
  4. Step 4: Simplify right side
    123,199.96x = 13,221,162,536.11
  5. Step 5: Solve for x
    x = 13,221,162,536.11/123,199.96
  6. Step 6: Final answer
    x = 107,314.67

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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.