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Finding the Fourth Proportional to 76,761.77, 105,929.64 and 42,770.12

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Solution

The fourth proportional to 76,761.77, 105,929.64 and 42,770.12 is: 59,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.77 : 105,929.64 = 42,770.12 : x
  2. Step 2: Convert to fraction form
    76,761.77/105,929.64 = 42,770.12/x
  3. Step 3: Cross multiply
    76,761.77x = 105,929.64 × 42,770.12
  4. Step 4: Simplify right side
    76,761.77x = 4,530,622,884.71
  5. Step 5: Solve for x
    x = 4,530,622,884.71/76,761.77
  6. Step 6: Final answer
    x = 59,021.87

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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.