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Finding the Fourth Proportional to 76,401, 105,434.19 and 42,867

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Solution

The fourth proportional to 76,401, 105,434.19 and 42,867 is: 59,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401 : 105,434.19 = 42,867 : x
  2. Step 2: Convert to fraction form
    76,401/105,434.19 = 42,867/x
  3. Step 3: Cross multiply
    76,401x = 105,434.19 × 42,867
  4. Step 4: Simplify right side
    76,401x = 4,519,647,422.73
  5. Step 5: Solve for x
    x = 4,519,647,422.73/76,401
  6. Step 6: Final answer
    x = 59,156.91

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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.