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Finding the Fourth Proportional to 72,536.82, 100,108 and 40,705.84

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Solution

The fourth proportional to 72,536.82, 100,108 and 40,705.84 is: 56,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,536.82 : 100,108 = 40,705.84 : x
  2. Step 2: Convert to fraction form
    72,536.82/100,108 = 40,705.84/x
  3. Step 3: Cross multiply
    72,536.82x = 100,108 × 40,705.84
  4. Step 4: Simplify right side
    72,536.82x = 4,074,980,230.72
  5. Step 5: Solve for x
    x = 4,074,980,230.72/72,536.82
  6. Step 6: Final answer
    x = 56,178.09

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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.