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Finding the Fourth Proportional to 78,628.45, 117,871.82 and 28,673.49

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Solution

The fourth proportional to 78,628.45, 117,871.82 and 28,673.49 is: 42,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,628.45 : 117,871.82 = 28,673.49 : x
  2. Step 2: Convert to fraction form
    78,628.45/117,871.82 = 28,673.49/x
  3. Step 3: Cross multiply
    78,628.45x = 117,871.82 × 28,673.49
  4. Step 4: Simplify right side
    78,628.45x = 3,379,796,452.05
  5. Step 5: Solve for x
    x = 3,379,796,452.05/78,628.45
  6. Step 6: Final answer
    x = 42,984.40

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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.