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Finding the Fourth Proportional to 72,686.40, 108,997.20 and 33,223.20

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Solution

The fourth proportional to 72,686.40, 108,997.20 and 33,223.20 is: 49,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,686.40 : 108,997.20 = 33,223.20 : x
  2. Step 2: Convert to fraction form
    72,686.40/108,997.20 = 33,223.20/x
  3. Step 3: Cross multiply
    72,686.40x = 108,997.20 × 33,223.20
  4. Step 4: Simplify right side
    72,686.40x = 3,621,235,775.04
  5. Step 5: Solve for x
    x = 3,621,235,775.04/72,686.40
  6. Step 6: Final answer
    x = 49,819.99

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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.