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Finding the Fourth Proportional to 111,764.87, 154,292.64 and 86,213.88

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Solution

The fourth proportional to 111,764.87, 154,292.64 and 86,213.88 is: 119,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,764.87 : 154,292.64 = 86,213.88 : x
  2. Step 2: Convert to fraction form
    111,764.87/154,292.64 = 86,213.88/x
  3. Step 3: Cross multiply
    111,764.87x = 154,292.64 × 86,213.88
  4. Step 4: Simplify right side
    111,764.87x = 13,302,167,149.84
  5. Step 5: Solve for x
    x = 13,302,167,149.84/111,764.87
  6. Step 6: Final answer
    x = 119,019.22

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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.