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Finding the Fourth Proportional to 78,600.35, 117,826.41 and 39,120.14

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Solution

The fourth proportional to 78,600.35, 117,826.41 and 39,120.14 is: 58,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,600.35 : 117,826.41 = 39,120.14 : x
  2. Step 2: Convert to fraction form
    78,600.35/117,826.41 = 39,120.14/x
  3. Step 3: Cross multiply
    78,600.35x = 117,826.41 × 39,120.14
  4. Step 4: Simplify right side
    78,600.35x = 4,609,385,654.90
  5. Step 5: Solve for x
    x = 4,609,385,654.90/78,600.35
  6. Step 6: Final answer
    x = 58,643.32

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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.