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Finding the Fourth Proportional to 72,993.78, 109,476 and 20,403.72

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Solution

The fourth proportional to 72,993.78, 109,476 and 20,403.72 is: 30,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993.78 : 109,476 = 20,403.72 : x
  2. Step 2: Convert to fraction form
    72,993.78/109,476 = 20,403.72/x
  3. Step 3: Cross multiply
    72,993.78x = 109,476 × 20,403.72
  4. Step 4: Simplify right side
    72,993.78x = 2,233,717,650.72
  5. Step 5: Solve for x
    x = 2,233,717,650.72/72,993.78
  6. Step 6: Final answer
    x = 30,601.48

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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.