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Finding the Fourth Proportional to 51,143.78, 76,720.03 and 15,613.09

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Solution

The fourth proportional to 51,143.78, 76,720.03 and 15,613.09 is: 23,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,143.78 : 76,720.03 = 15,613.09 : x
  2. Step 2: Convert to fraction form
    51,143.78/76,720.03 = 15,613.09/x
  3. Step 3: Cross multiply
    51,143.78x = 76,720.03 × 15,613.09
  4. Step 4: Simplify right side
    51,143.78x = 1,197,836,502.36
  5. Step 5: Solve for x
    x = 1,197,836,502.36/51,143.78
  6. Step 6: Final answer
    x = 23,420.96

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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.