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Finding the Fourth Proportional to 129,493.96, 194,252.36 and 39,557

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Solution

The fourth proportional to 129,493.96, 194,252.36 and 39,557 is: 59,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,493.96 : 194,252.36 = 39,557 : x
  2. Step 2: Convert to fraction form
    129,493.96/194,252.36 = 39,557/x
  3. Step 3: Cross multiply
    129,493.96x = 194,252.36 × 39,557
  4. Step 4: Simplify right side
    129,493.96x = 7,684,040,604.52
  5. Step 5: Solve for x
    x = 7,684,040,604.52/129,493.96
  6. Step 6: Final answer
    x = 59,338.99

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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.