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Finding the Fourth Proportional to 72,027.48, 108,028.16 and 19,424.66

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Solution

The fourth proportional to 72,027.48, 108,028.16 and 19,424.66 is: 29,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,027.48 : 108,028.16 = 19,424.66 : x
  2. Step 2: Convert to fraction form
    72,027.48/108,028.16 = 19,424.66/x
  3. Step 3: Cross multiply
    72,027.48x = 108,028.16 × 19,424.66
  4. Step 4: Simplify right side
    72,027.48x = 2,098,410,278.43
  5. Step 5: Solve for x
    x = 2,098,410,278.43/72,027.48
  6. Step 6: Final answer
    x = 29,133.47

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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.