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Finding the Fourth Proportional to 39,846, 59,779.53 and 19,861.38

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Solution

The fourth proportional to 39,846, 59,779.53 and 19,861.38 is: 29,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846 : 59,779.53 = 19,861.38 : x
  2. Step 2: Convert to fraction form
    39,846/59,779.53 = 19,861.38/x
  3. Step 3: Cross multiply
    39,846x = 59,779.53 × 19,861.38
  4. Step 4: Simplify right side
    39,846x = 1,187,303,961.55
  5. Step 5: Solve for x
    x = 1,187,303,961.55/39,846
  6. Step 6: Final answer
    x = 29,797.32

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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.