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Finding the Fourth Proportional to 36,078, 54,069.48 and 15,275.76

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Solution

The fourth proportional to 36,078, 54,069.48 and 15,275.76 is: 22,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078 : 54,069.48 = 15,275.76 : x
  2. Step 2: Convert to fraction form
    36,078/54,069.48 = 15,275.76/x
  3. Step 3: Cross multiply
    36,078x = 54,069.48 × 15,275.76
  4. Step 4: Simplify right side
    36,078x = 825,952,399.80
  5. Step 5: Solve for x
    x = 825,952,399.80/36,078
  6. Step 6: Final answer
    x = 22,893.52

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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.