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Finding the Fourth Proportional to 72,109.56, 108,135.12 and 29,961

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Solution

The fourth proportional to 72,109.56, 108,135.12 and 29,961 is: 44,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,109.56 : 108,135.12 = 29,961 : x
  2. Step 2: Convert to fraction form
    72,109.56/108,135.12 = 29,961/x
  3. Step 3: Cross multiply
    72,109.56x = 108,135.12 × 29,961
  4. Step 4: Simplify right side
    72,109.56x = 3,239,836,330.32
  5. Step 5: Solve for x
    x = 3,239,836,330.32/72,109.56
  6. Step 6: Final answer
    x = 44,929.36

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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.