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Finding the Fourth Proportional to 78,093.99, 107,689.16 and 66,800.87

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Solution

The fourth proportional to 78,093.99, 107,689.16 and 66,800.87 is: 92,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.99 : 107,689.16 = 66,800.87 : x
  2. Step 2: Convert to fraction form
    78,093.99/107,689.16 = 66,800.87/x
  3. Step 3: Cross multiply
    78,093.99x = 107,689.16 × 66,800.87
  4. Step 4: Simplify right side
    78,093.99x = 7,193,728,705.12
  5. Step 5: Solve for x
    x = 7,193,728,705.12/78,093.99
  6. Step 6: Final answer
    x = 92,116.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.