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Finding the Fourth Proportional to 83,491.44, 115,226.16 and 47,686.80

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Solution

The fourth proportional to 83,491.44, 115,226.16 and 47,686.80 is: 65,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,491.44 : 115,226.16 = 47,686.80 : x
  2. Step 2: Convert to fraction form
    83,491.44/115,226.16 = 47,686.80/x
  3. Step 3: Cross multiply
    83,491.44x = 115,226.16 × 47,686.80
  4. Step 4: Simplify right side
    83,491.44x = 5,494,766,846.69
  5. Step 5: Solve for x
    x = 5,494,766,846.69/83,491.44
  6. Step 6: Final answer
    x = 65,812.34

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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.