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Finding the Fourth Proportional to 72,583.40, 100,204.62 and 43,907.78

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Solution

The fourth proportional to 72,583.40, 100,204.62 and 43,907.78 is: 60,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.40 : 100,204.62 = 43,907.78 : x
  2. Step 2: Convert to fraction form
    72,583.40/100,204.62 = 43,907.78/x
  3. Step 3: Cross multiply
    72,583.40x = 100,204.62 × 43,907.78
  4. Step 4: Simplify right side
    72,583.40x = 4,399,762,409.94
  5. Step 5: Solve for x
    x = 4,399,762,409.94/72,583.40
  6. Step 6: Final answer
    x = 60,616.65

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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.