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Finding the Fourth Proportional to 55,357.80, 83,023.20 and 15,910.80

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Solution

The fourth proportional to 55,357.80, 83,023.20 and 15,910.80 is: 23,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,357.80 : 83,023.20 = 15,910.80 : x
  2. Step 2: Convert to fraction form
    55,357.80/83,023.20 = 15,910.80/x
  3. Step 3: Cross multiply
    55,357.80x = 83,023.20 × 15,910.80
  4. Step 4: Simplify right side
    55,357.80x = 1,320,965,530.56
  5. Step 5: Solve for x
    x = 1,320,965,530.56/55,357.80
  6. Step 6: Final answer
    x = 23,862.32

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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.