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Finding the Fourth Proportional to 51,079.81, 76,619.72 and 14,143.81

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Solution

The fourth proportional to 51,079.81, 76,619.72 and 14,143.81 is: 21,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,079.81 : 76,619.72 = 14,143.81 : x
  2. Step 2: Convert to fraction form
    51,079.81/76,619.72 = 14,143.81/x
  3. Step 3: Cross multiply
    51,079.81x = 76,619.72 × 14,143.81
  4. Step 4: Simplify right side
    51,079.81x = 1,083,694,761.93
  5. Step 5: Solve for x
    x = 1,083,694,761.93/51,079.81
  6. Step 6: Final answer
    x = 21,215.72

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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.