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Finding the Fourth Proportional to 111,868, 167,747.28 and 52,653.76

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Solution

The fourth proportional to 111,868, 167,747.28 and 52,653.76 is: 78,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,868 : 167,747.28 = 52,653.76 : x
  2. Step 2: Convert to fraction form
    111,868/167,747.28 = 52,653.76/x
  3. Step 3: Cross multiply
    111,868x = 167,747.28 × 52,653.76
  4. Step 4: Simplify right side
    111,868x = 8,832,525,021.77
  5. Step 5: Solve for x
    x = 8,832,525,021.77/111,868
  6. Step 6: Final answer
    x = 78,954.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.