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Finding the Fourth Proportional to 29,679.81, 44,519.72 and 12,142.50

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Solution

The fourth proportional to 29,679.81, 44,519.72 and 12,142.50 is: 18,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,679.81 : 44,519.72 = 12,142.50 : x
  2. Step 2: Convert to fraction form
    29,679.81/44,519.72 = 12,142.50/x
  3. Step 3: Cross multiply
    29,679.81x = 44,519.72 × 12,142.50
  4. Step 4: Simplify right side
    29,679.81x = 540,580,700.10
  5. Step 5: Solve for x
    x = 540,580,700.10/29,679.81
  6. Step 6: Final answer
    x = 18,213.75

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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.