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Finding the Fourth Proportional to 78,694.49, 117,977.40 and 36,600.82

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Solution

The fourth proportional to 78,694.49, 117,977.40 and 36,600.82 is: 54,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,694.49 : 117,977.40 = 36,600.82 : x
  2. Step 2: Convert to fraction form
    78,694.49/117,977.40 = 36,600.82/x
  3. Step 3: Cross multiply
    78,694.49x = 117,977.40 × 36,600.82
  4. Step 4: Simplify right side
    78,694.49x = 4,318,069,581.47
  5. Step 5: Solve for x
    x = 4,318,069,581.47/78,694.49
  6. Step 6: Final answer
    x = 54,871.31

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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.