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Finding the Fourth Proportional to 72,615.28, 108,896.80 and 25,858.84

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Solution

The fourth proportional to 72,615.28, 108,896.80 and 25,858.84 is: 38,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,615.28 : 108,896.80 = 25,858.84 : x
  2. Step 2: Convert to fraction form
    72,615.28/108,896.80 = 25,858.84/x
  3. Step 3: Cross multiply
    72,615.28x = 108,896.80 × 25,858.84
  4. Step 4: Simplify right side
    72,615.28x = 2,815,944,927.71
  5. Step 5: Solve for x
    x = 2,815,944,927.71/72,615.28
  6. Step 6: Final answer
    x = 38,778.96

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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.