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Finding the Fourth Proportional to 72,836.25, 109,254.45 and 41,649.63

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Solution

The fourth proportional to 72,836.25, 109,254.45 and 41,649.63 is: 62,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836.25 : 109,254.45 = 41,649.63 : x
  2. Step 2: Convert to fraction form
    72,836.25/109,254.45 = 41,649.63/x
  3. Step 3: Cross multiply
    72,836.25x = 109,254.45 × 41,649.63
  4. Step 4: Simplify right side
    72,836.25x = 4,550,407,418.35
  5. Step 5: Solve for x
    x = 4,550,407,418.35/72,836.25
  6. Step 6: Final answer
    x = 62,474.49

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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.