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Finding the Fourth Proportional to 72,864, 100,535.04 and 41,026.56

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Solution

The fourth proportional to 72,864, 100,535.04 and 41,026.56 is: 56,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864 : 100,535.04 = 41,026.56 : x
  2. Step 2: Convert to fraction form
    72,864/100,535.04 = 41,026.56/x
  3. Step 3: Cross multiply
    72,864x = 100,535.04 × 41,026.56
  4. Step 4: Simplify right side
    72,864x = 4,124,606,850.66
  5. Step 5: Solve for x
    x = 4,124,606,850.66/72,864
  6. Step 6: Final answer
    x = 56,606.92

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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.