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Finding the Fourth Proportional to 72,772.30, 100,418.63 and 40,940.52

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Solution

The fourth proportional to 72,772.30, 100,418.63 and 40,940.52 is: 56,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,772.30 : 100,418.63 = 40,940.52 : x
  2. Step 2: Convert to fraction form
    72,772.30/100,418.63 = 40,940.52/x
  3. Step 3: Cross multiply
    72,772.30x = 100,418.63 × 40,940.52
  4. Step 4: Simplify right side
    72,772.30x = 4,111,190,929.89
  5. Step 5: Solve for x
    x = 4,111,190,929.89/72,772.30
  6. Step 6: Final answer
    x = 56,493.90

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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.