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Finding the Fourth Proportional to 78,093.90, 117,189 and 30,700.62

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Solution

The fourth proportional to 78,093.90, 117,189 and 30,700.62 is: 46,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.90 : 117,189 = 30,700.62 : x
  2. Step 2: Convert to fraction form
    78,093.90/117,189 = 30,700.62/x
  3. Step 3: Cross multiply
    78,093.90x = 117,189 × 30,700.62
  4. Step 4: Simplify right side
    78,093.90x = 3,597,774,957.18
  5. Step 5: Solve for x
    x = 3,597,774,957.18/78,093.90
  6. Step 6: Final answer
    x = 46,069.86

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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.