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Finding the Fourth Proportional to 78,567.74, 117,800.90 and 33,618.43

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Solution

The fourth proportional to 78,567.74, 117,800.90 and 33,618.43 is: 50,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,567.74 : 117,800.90 = 33,618.43 : x
  2. Step 2: Convert to fraction form
    78,567.74/117,800.90 = 33,618.43/x
  3. Step 3: Cross multiply
    78,567.74x = 117,800.90 × 33,618.43
  4. Step 4: Simplify right side
    78,567.74x = 3,960,280,847.99
  5. Step 5: Solve for x
    x = 3,960,280,847.99/78,567.74
  6. Step 6: Final answer
    x = 50,405.94

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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.