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Finding the Fourth Proportional to 66,978.90, 100,461.42 and 33,685.38

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Solution

The fourth proportional to 66,978.90, 100,461.42 and 33,685.38 is: 50,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978.90 : 100,461.42 = 33,685.38 : x
  2. Step 2: Convert to fraction form
    66,978.90/100,461.42 = 33,685.38/x
  3. Step 3: Cross multiply
    66,978.90x = 100,461.42 × 33,685.38
  4. Step 4: Simplify right side
    66,978.90x = 3,384,081,108.04
  5. Step 5: Solve for x
    x = 3,384,081,108.04/66,978.90
  6. Step 6: Final answer
    x = 50,524.58

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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.