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Finding the Fourth Proportional to 72,009.72, 108,032 and 27,031.48

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Solution

The fourth proportional to 72,009.72, 108,032 and 27,031.48 is: 40,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,009.72 : 108,032 = 27,031.48 : x
  2. Step 2: Convert to fraction form
    72,009.72/108,032 = 27,031.48/x
  3. Step 3: Cross multiply
    72,009.72x = 108,032 × 27,031.48
  4. Step 4: Simplify right side
    72,009.72x = 2,920,264,847.36
  5. Step 5: Solve for x
    x = 2,920,264,847.36/72,009.72
  6. Step 6: Final answer
    x = 40,553.76

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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.