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Finding the Fourth Proportional to 128,537.69, 192,815.72 and 39,779.78

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Solution

The fourth proportional to 128,537.69, 192,815.72 and 39,779.78 is: 59,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,537.69 : 192,815.72 = 39,779.78 : x
  2. Step 2: Convert to fraction form
    128,537.69/192,815.72 = 39,779.78/x
  3. Step 3: Cross multiply
    128,537.69x = 192,815.72 × 39,779.78
  4. Step 4: Simplify right side
    128,537.69x = 7,670,166,723.24
  5. Step 5: Solve for x
    x = 7,670,166,723.24/128,537.69
  6. Step 6: Final answer
    x = 59,672.51

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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.