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Finding the Fourth Proportional to 55,278.88, 82,921.14 and 15,841.78

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Solution

The fourth proportional to 55,278.88, 82,921.14 and 15,841.78 is: 23,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,278.88 : 82,921.14 = 15,841.78 : x
  2. Step 2: Convert to fraction form
    55,278.88/82,921.14 = 15,841.78/x
  3. Step 3: Cross multiply
    55,278.88x = 82,921.14 × 15,841.78
  4. Step 4: Simplify right side
    55,278.88x = 1,313,618,457.23
  5. Step 5: Solve for x
    x = 1,313,618,457.23/55,278.88
  6. Step 6: Final answer
    x = 23,763.48

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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.