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Finding the Fourth Proportional to 72,637.54, 100,199.36 and 67,500

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Solution

The fourth proportional to 72,637.54, 100,199.36 and 67,500 is: 93,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,637.54 : 100,199.36 = 67,500 : x
  2. Step 2: Convert to fraction form
    72,637.54/100,199.36 = 67,500/x
  3. Step 3: Cross multiply
    72,637.54x = 100,199.36 × 67,500
  4. Step 4: Simplify right side
    72,637.54x = 6,763,456,800
  5. Step 5: Solve for x
    x = 6,763,456,800/72,637.54
  6. Step 6: Final answer
    x = 93,112.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.