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Finding the Fourth Proportional to 72,358.36, 108,536.10 and 19,772.44

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Solution

The fourth proportional to 72,358.36, 108,536.10 and 19,772.44 is: 29,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358.36 : 108,536.10 = 19,772.44 : x
  2. Step 2: Convert to fraction form
    72,358.36/108,536.10 = 19,772.44/x
  3. Step 3: Cross multiply
    72,358.36x = 108,536.10 × 19,772.44
  4. Step 4: Simplify right side
    72,358.36x = 2,146,023,525.08
  5. Step 5: Solve for x
    x = 2,146,023,525.08/72,358.36
  6. Step 6: Final answer
    x = 29,658.27

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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.