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Finding the Fourth Proportional to 51,162.86, 70,609.50 and 29,942.12

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Solution

The fourth proportional to 51,162.86, 70,609.50 and 29,942.12 is: 41,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.86 : 70,609.50 = 29,942.12 : x
  2. Step 2: Convert to fraction form
    51,162.86/70,609.50 = 29,942.12/x
  3. Step 3: Cross multiply
    51,162.86x = 70,609.50 × 29,942.12
  4. Step 4: Simplify right side
    51,162.86x = 2,114,197,769.09
  5. Step 5: Solve for x
    x = 2,114,197,769.09/51,162.86
  6. Step 6: Final answer
    x = 41,322.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.