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Finding the Fourth Proportional to 78,107.70, 117,137.34 and 28,181.31

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Solution

The fourth proportional to 78,107.70, 117,137.34 and 28,181.31 is: 42,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.70 : 117,137.34 = 28,181.31 : x
  2. Step 2: Convert to fraction form
    78,107.70/117,137.34 = 28,181.31/x
  3. Step 3: Cross multiply
    78,107.70x = 117,137.34 × 28,181.31
  4. Step 4: Simplify right side
    78,107.70x = 3,301,083,691.12
  5. Step 5: Solve for x
    x = 3,301,083,691.12/78,107.70
  6. Step 6: Final answer
    x = 42,263.23

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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.