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Finding the Fourth Proportional to 78,493.92, 117,804.15 and 36,420.90

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Solution

The fourth proportional to 78,493.92, 117,804.15 and 36,420.90 is: 54,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.92 : 117,804.15 = 36,420.90 : x
  2. Step 2: Convert to fraction form
    78,493.92/117,804.15 = 36,420.90/x
  3. Step 3: Cross multiply
    78,493.92x = 117,804.15 × 36,420.90
  4. Step 4: Simplify right side
    78,493.92x = 4,290,533,166.74
  5. Step 5: Solve for x
    x = 4,290,533,166.74/78,493.92
  6. Step 6: Final answer
    x = 54,660.71

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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.