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Finding the Fourth Proportional to 72,642.60, 109,002.30 and 33,205.80

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Solution

The fourth proportional to 72,642.60, 109,002.30 and 33,205.80 is: 49,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,642.60 : 109,002.30 = 33,205.80 : x
  2. Step 2: Convert to fraction form
    72,642.60/109,002.30 = 33,205.80/x
  3. Step 3: Cross multiply
    72,642.60x = 109,002.30 × 33,205.80
  4. Step 4: Simplify right side
    72,642.60x = 3,619,508,573.34
  5. Step 5: Solve for x
    x = 3,619,508,573.34/72,642.60
  6. Step 6: Final answer
    x = 49,826.25

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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.