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Finding the Fourth Proportional to 72,641.60, 109,000.80 and 33,204.80

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Solution

The fourth proportional to 72,641.60, 109,000.80 and 33,204.80 is: 49,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,641.60 : 109,000.80 = 33,204.80 : x
  2. Step 2: Convert to fraction form
    72,641.60/109,000.80 = 33,204.80/x
  3. Step 3: Cross multiply
    72,641.60x = 109,000.80 × 33,204.80
  4. Step 4: Simplify right side
    72,641.60x = 3,619,349,763.84
  5. Step 5: Solve for x
    x = 3,619,349,763.84/72,641.60
  6. Step 6: Final answer
    x = 49,824.75

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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.