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Finding the Fourth Proportional to 51,581.91, 77,372.92 and 14,142.30

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Solution

The fourth proportional to 51,581.91, 77,372.92 and 14,142.30 is: 21,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,581.91 : 77,372.92 = 14,142.30 : x
  2. Step 2: Convert to fraction form
    51,581.91/77,372.92 = 14,142.30/x
  3. Step 3: Cross multiply
    51,581.91x = 77,372.92 × 14,142.30
  4. Step 4: Simplify right side
    51,581.91x = 1,094,230,774.05
  5. Step 5: Solve for x
    x = 1,094,230,774.05/51,581.91
  6. Step 6: Final answer
    x = 21,213.46

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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.