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Finding the Fourth Proportional to 106,806.78, 160,219.28 and 27,920.88

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Solution

The fourth proportional to 106,806.78, 160,219.28 and 27,920.88 is: 41,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806.78 : 160,219.28 = 27,920.88 : x
  2. Step 2: Convert to fraction form
    106,806.78/160,219.28 = 27,920.88/x
  3. Step 3: Cross multiply
    106,806.78x = 160,219.28 × 27,920.88
  4. Step 4: Simplify right side
    106,806.78x = 4,473,462,349.87
  5. Step 5: Solve for x
    x = 4,473,462,349.87/106,806.78
  6. Step 6: Final answer
    x = 41,883.69

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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.