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Finding the Fourth Proportional to 72,001, 99,361.38 and 42,193

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Solution

The fourth proportional to 72,001, 99,361.38 and 42,193 is: 58,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,001 : 99,361.38 = 42,193 : x
  2. Step 2: Convert to fraction form
    72,001/99,361.38 = 42,193/x
  3. Step 3: Cross multiply
    72,001x = 99,361.38 × 42,193
  4. Step 4: Simplify right side
    72,001x = 4,192,354,706.34
  5. Step 5: Solve for x
    x = 4,192,354,706.34/72,001
  6. Step 6: Final answer
    x = 58,226.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.