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Finding the Fourth Proportional to 78,451.89, 117,736.16 and 43,459.89

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Solution

The fourth proportional to 78,451.89, 117,736.16 and 43,459.89 is: 65,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.89 : 117,736.16 = 43,459.89 : x
  2. Step 2: Convert to fraction form
    78,451.89/117,736.16 = 43,459.89/x
  3. Step 3: Cross multiply
    78,451.89x = 117,736.16 × 43,459.89
  4. Step 4: Simplify right side
    78,451.89x = 5,116,800,562.62
  5. Step 5: Solve for x
    x = 5,116,800,562.62/78,451.89
  6. Step 6: Final answer
    x = 65,222.15

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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.