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Finding the Fourth Proportional to 106,890.68, 160,363.69 and 40,331.39

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Solution

The fourth proportional to 106,890.68, 160,363.69 and 40,331.39 is: 60,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,890.68 : 160,363.69 = 40,331.39 : x
  2. Step 2: Convert to fraction form
    106,890.68/160,363.69 = 40,331.39/x
  3. Step 3: Cross multiply
    106,890.68x = 160,363.69 × 40,331.39
  4. Step 4: Simplify right side
    106,890.68x = 6,467,689,620.58
  5. Step 5: Solve for x
    x = 6,467,689,620.58/106,890.68
  6. Step 6: Final answer
    x = 60,507.52

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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.