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Finding the Fourth Proportional to 52,350, 72,243 and 30,006.96

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Solution

The fourth proportional to 52,350, 72,243 and 30,006.96 is: 41,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,350 : 72,243 = 30,006.96 : x
  2. Step 2: Convert to fraction form
    52,350/72,243 = 30,006.96/x
  3. Step 3: Cross multiply
    52,350x = 72,243 × 30,006.96
  4. Step 4: Simplify right side
    52,350x = 2,167,792,811.28
  5. Step 5: Solve for x
    x = 2,167,792,811.28/52,350
  6. Step 6: Final answer
    x = 41,409.60

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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.