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Finding the Fourth Proportional to 106,168.37, 159,280.12 and 39,609

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Solution

The fourth proportional to 106,168.37, 159,280.12 and 39,609 is: 59,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,168.37 : 159,280.12 = 39,609 : x
  2. Step 2: Convert to fraction form
    106,168.37/159,280.12 = 39,609/x
  3. Step 3: Cross multiply
    106,168.37x = 159,280.12 × 39,609
  4. Step 4: Simplify right side
    106,168.37x = 6,308,926,322.59
  5. Step 5: Solve for x
    x = 6,308,926,322.59/106,168.37
  6. Step 6: Final answer
    x = 59,423.78

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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.