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Finding the Fourth Proportional to 106,478.69, 159,671.25 and 39,872.09

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Solution

The fourth proportional to 106,478.69, 159,671.25 and 39,872.09 is: 59,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.69 : 159,671.25 = 39,872.09 : x
  2. Step 2: Convert to fraction form
    106,478.69/159,671.25 = 39,872.09/x
  3. Step 3: Cross multiply
    106,478.69x = 159,671.25 × 39,872.09
  4. Step 4: Simplify right side
    106,478.69x = 6,366,426,849.59
  5. Step 5: Solve for x
    x = 6,366,426,849.59/106,478.69
  6. Step 6: Final answer
    x = 59,790.62

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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.