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Finding the Fourth Proportional to 76,394.57, 105,419.54 and 42,401.43

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Solution

The fourth proportional to 76,394.57, 105,419.54 and 42,401.43 is: 58,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.57 : 105,419.54 = 42,401.43 : x
  2. Step 2: Convert to fraction form
    76,394.57/105,419.54 = 42,401.43/x
  3. Step 3: Cross multiply
    76,394.57x = 105,419.54 × 42,401.43
  4. Step 4: Simplify right side
    76,394.57x = 4,469,939,033.94
  5. Step 5: Solve for x
    x = 4,469,939,033.94/76,394.57
  6. Step 6: Final answer
    x = 58,511.22

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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.