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Finding the Fourth Proportional to 72,838.36, 109,270.02 and 33,398.86

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Solution

The fourth proportional to 72,838.36, 109,270.02 and 33,398.86 is: 50,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,838.36 : 109,270.02 = 33,398.86 : x
  2. Step 2: Convert to fraction form
    72,838.36/109,270.02 = 33,398.86/x
  3. Step 3: Cross multiply
    72,838.36x = 109,270.02 × 33,398.86
  4. Step 4: Simplify right side
    72,838.36x = 3,649,494,100.18
  5. Step 5: Solve for x
    x = 3,649,494,100.18/72,838.36
  6. Step 6: Final answer
    x = 50,104.01

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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.