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Finding the Fourth Proportional to 218,286.36, 301,230.72 and 127,695.96

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Solution

The fourth proportional to 218,286.36, 301,230.72 and 127,695.96 is: 176,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,286.36 : 301,230.72 = 127,695.96 : x
  2. Step 2: Convert to fraction form
    218,286.36/301,230.72 = 127,695.96/x
  3. Step 3: Cross multiply
    218,286.36x = 301,230.72 × 127,695.96
  4. Step 4: Simplify right side
    218,286.36x = 38,465,945,971.89
  5. Step 5: Solve for x
    x = 38,465,945,971.89/218,286.36
  6. Step 6: Final answer
    x = 176,217.82

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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.