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Finding the Fourth Proportional to 72,536.36, 108,738.88 and 25,778.28

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Solution

The fourth proportional to 72,536.36, 108,738.88 and 25,778.28 is: 38,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,536.36 : 108,738.88 = 25,778.28 : x
  2. Step 2: Convert to fraction form
    72,536.36/108,738.88 = 25,778.28/x
  3. Step 3: Cross multiply
    72,536.36x = 108,738.88 × 25,778.28
  4. Step 4: Simplify right side
    72,536.36x = 2,803,101,295.53
  5. Step 5: Solve for x
    x = 2,803,101,295.53/72,536.36
  6. Step 6: Final answer
    x = 38,644.09

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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.