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Finding the Fourth Proportional to 78,578.00, 117,914.31 and 28,662.46

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Solution

The fourth proportional to 78,578.00, 117,914.31 and 28,662.46 is: 43,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.00 : 117,914.31 = 28,662.46 : x
  2. Step 2: Convert to fraction form
    78,578.00/117,914.31 = 28,662.46/x
  3. Step 3: Cross multiply
    78,578.00x = 117,914.31 × 28,662.46
  4. Step 4: Simplify right side
    78,578.00x = 3,379,713,818.40
  5. Step 5: Solve for x
    x = 3,379,713,818.40/78,578.00
  6. Step 6: Final answer
    x = 43,010.94

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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.