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Finding the Fourth Proportional to 72,761.30, 100,407.30 and 40,497.56

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Solution

The fourth proportional to 72,761.30, 100,407.30 and 40,497.56 is: 55,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.30 : 100,407.30 = 40,497.56 : x
  2. Step 2: Convert to fraction form
    72,761.30/100,407.30 = 40,497.56/x
  3. Step 3: Cross multiply
    72,761.30x = 100,407.30 × 40,497.56
  4. Step 4: Simplify right side
    72,761.30x = 4,066,250,656.19
  5. Step 5: Solve for x
    x = 4,066,250,656.19/72,761.30
  6. Step 6: Final answer
    x = 55,884.80

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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.