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Finding the Fourth Proportional to 72,493.23, 100,033.94 and 40,655.97

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Solution

The fourth proportional to 72,493.23, 100,033.94 and 40,655.97 is: 56,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,493.23 : 100,033.94 = 40,655.97 : x
  2. Step 2: Convert to fraction form
    72,493.23/100,033.94 = 40,655.97/x
  3. Step 3: Cross multiply
    72,493.23x = 100,033.94 × 40,655.97
  4. Step 4: Simplify right side
    72,493.23x = 4,066,976,660.34
  5. Step 5: Solve for x
    x = 4,066,976,660.34/72,493.23
  6. Step 6: Final answer
    x = 56,101.47

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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.