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Finding the Fourth Proportional to 78,593.85, 117,659.12 and 51,890.85

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Solution

The fourth proportional to 78,593.85, 117,659.12 and 51,890.85 is: 77,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.85 : 117,659.12 = 51,890.85 : x
  2. Step 2: Convert to fraction form
    78,593.85/117,659.12 = 51,890.85/x
  3. Step 3: Cross multiply
    78,593.85x = 117,659.12 × 51,890.85
  4. Step 4: Simplify right side
    78,593.85x = 6,105,431,487.60
  5. Step 5: Solve for x
    x = 6,105,431,487.60/78,593.85
  6. Step 6: Final answer
    x = 77,683.32

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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.