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Finding the Fourth Proportional to 73,739.82, 101,761.05 and 40,205.82

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Solution

The fourth proportional to 73,739.82, 101,761.05 and 40,205.82 is: 55,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,739.82 : 101,761.05 = 40,205.82 : x
  2. Step 2: Convert to fraction form
    73,739.82/101,761.05 = 40,205.82/x
  3. Step 3: Cross multiply
    73,739.82x = 101,761.05 × 40,205.82
  4. Step 4: Simplify right side
    73,739.82x = 4,091,386,459.31
  5. Step 5: Solve for x
    x = 4,091,386,459.31/73,739.82
  6. Step 6: Final answer
    x = 55,484.09

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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.