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Finding the Fourth Proportional to 78,604.67, 117,832.88 and 39,124.46

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Solution

The fourth proportional to 78,604.67, 117,832.88 and 39,124.46 is: 58,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,604.67 : 117,832.88 = 39,124.46 : x
  2. Step 2: Convert to fraction form
    78,604.67/117,832.88 = 39,124.46/x
  3. Step 3: Cross multiply
    78,604.67x = 117,832.88 × 39,124.46
  4. Step 4: Simplify right side
    78,604.67x = 4,610,147,211.08
  5. Step 5: Solve for x
    x = 4,610,147,211.08/78,604.67
  6. Step 6: Final answer
    x = 58,649.79

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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.