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Finding the Fourth Proportional to 123,672.56, 185,516.19 and 47,771.67

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Solution

The fourth proportional to 123,672.56, 185,516.19 and 47,771.67 is: 71,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,672.56 : 185,516.19 = 47,771.67 : x
  2. Step 2: Convert to fraction form
    123,672.56/185,516.19 = 47,771.67/x
  3. Step 3: Cross multiply
    123,672.56x = 185,516.19 × 47,771.67
  4. Step 4: Simplify right side
    123,672.56x = 8,862,418,208.34
  5. Step 5: Solve for x
    x = 8,862,418,208.34/123,672.56
  6. Step 6: Final answer
    x = 71,660.35

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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.