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Finding the Fourth Proportional to 76,760.87, 105,929.78 and 42,770.84

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Solution

The fourth proportional to 76,760.87, 105,929.78 and 42,770.84 is: 59,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760.87 : 105,929.78 = 42,770.84 : x
  2. Step 2: Convert to fraction form
    76,760.87/105,929.78 = 42,770.84/x
  3. Step 3: Cross multiply
    76,760.87x = 105,929.78 × 42,770.84
  4. Step 4: Simplify right side
    76,760.87x = 4,530,704,928.11
  5. Step 5: Solve for x
    x = 4,530,704,928.11/76,760.87
  6. Step 6: Final answer
    x = 59,023.63

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1.5x scale

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.