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Finding the Fourth Proportional to 72,684.87, 109,027.08 and 20,094.27

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Solution

The fourth proportional to 72,684.87, 109,027.08 and 20,094.27 is: 30,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,684.87 : 109,027.08 = 20,094.27 : x
  2. Step 2: Convert to fraction form
    72,684.87/109,027.08 = 20,094.27/x
  3. Step 3: Cross multiply
    72,684.87x = 109,027.08 × 20,094.27
  4. Step 4: Simplify right side
    72,684.87x = 2,190,819,582.83
  5. Step 5: Solve for x
    x = 2,190,819,582.83/72,684.87
  6. Step 6: Final answer
    x = 30,141.34

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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.