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Finding the Fourth Proportional to 72,705.80, 109,091.10 and 33,242.60

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Solution

The fourth proportional to 72,705.80, 109,091.10 and 33,242.60 is: 49,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.80 : 109,091.10 = 33,242.60 : x
  2. Step 2: Convert to fraction form
    72,705.80/109,091.10 = 33,242.60/x
  3. Step 3: Cross multiply
    72,705.80x = 109,091.10 × 33,242.60
  4. Step 4: Simplify right side
    72,705.80x = 3,626,471,800.86
  5. Step 5: Solve for x
    x = 3,626,471,800.86/72,705.80
  6. Step 6: Final answer
    x = 49,878.71

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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.