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Finding the Fourth Proportional to 72,043.12, 108,068.82 and 19,456.84

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Solution

The fourth proportional to 72,043.12, 108,068.82 and 19,456.84 is: 29,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,043.12 : 108,068.82 = 19,456.84 : x
  2. Step 2: Convert to fraction form
    72,043.12/108,068.82 = 19,456.84/x
  3. Step 3: Cross multiply
    72,043.12x = 108,068.82 × 19,456.84
  4. Step 4: Simplify right side
    72,043.12x = 2,102,677,739.73
  5. Step 5: Solve for x
    x = 2,102,677,739.73/72,043.12
  6. Step 6: Final answer
    x = 29,186.38

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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.