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Finding the Fourth Proportional to 76,294.28, 114,426.30 and 61,589

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Solution

The fourth proportional to 76,294.28, 114,426.30 and 61,589 is: 92,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,294.28 : 114,426.30 = 61,589 : x
  2. Step 2: Convert to fraction form
    76,294.28/114,426.30 = 61,589/x
  3. Step 3: Cross multiply
    76,294.28x = 114,426.30 × 61,589
  4. Step 4: Simplify right side
    76,294.28x = 7,047,401,390.70
  5. Step 5: Solve for x
    x = 7,047,401,390.70/76,294.28
  6. Step 6: Final answer
    x = 92,371.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.