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Finding the Fourth Proportional to 72,040.10, 108,051.64 and 19,453.68

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Solution

The fourth proportional to 72,040.10, 108,051.64 and 19,453.68 is: 29,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,040.10 : 108,051.64 = 19,453.68 : x
  2. Step 2: Convert to fraction form
    72,040.10/108,051.64 = 19,453.68/x
  3. Step 3: Cross multiply
    72,040.10x = 108,051.64 × 19,453.68
  4. Step 4: Simplify right side
    72,040.10x = 2,102,002,028.04
  5. Step 5: Solve for x
    x = 2,102,002,028.04/72,040.10
  6. Step 6: Final answer
    x = 29,178.22

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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.