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Finding the Fourth Proportional to 72,174.66, 108,249.22 and 19,588.24

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Solution

The fourth proportional to 72,174.66, 108,249.22 and 19,588.24 is: 29,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,174.66 : 108,249.22 = 19,588.24 : x
  2. Step 2: Convert to fraction form
    72,174.66/108,249.22 = 19,588.24/x
  3. Step 3: Cross multiply
    72,174.66x = 108,249.22 × 19,588.24
  4. Step 4: Simplify right side
    72,174.66x = 2,120,411,701.17
  5. Step 5: Solve for x
    x = 2,120,411,701.17/72,174.66
  6. Step 6: Final answer
    x = 29,378.89

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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.