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Finding the Fourth Proportional to 51,158.70, 76,732.71 and 13,722.78

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Solution

The fourth proportional to 51,158.70, 76,732.71 and 13,722.78 is: 20,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,158.70 : 76,732.71 = 13,722.78 : x
  2. Step 2: Convert to fraction form
    51,158.70/76,732.71 = 13,722.78/x
  3. Step 3: Cross multiply
    51,158.70x = 76,732.71 × 13,722.78
  4. Step 4: Simplify right side
    51,158.70x = 1,052,986,098.13
  5. Step 5: Solve for x
    x = 1,052,986,098.13/51,158.70
  6. Step 6: Final answer
    x = 20,582.74

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1.5x scale

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.