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Finding the Fourth Proportional to 78,505.86, 117,996.70 and 51,942.44

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Solution

The fourth proportional to 78,505.86, 117,996.70 and 51,942.44 is: 78,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.86 : 117,996.70 = 51,942.44 : x
  2. Step 2: Convert to fraction form
    78,505.86/117,996.70 = 51,942.44/x
  3. Step 3: Cross multiply
    78,505.86x = 117,996.70 × 51,942.44
  4. Step 4: Simplify right side
    78,505.86x = 6,129,036,509.95
  5. Step 5: Solve for x
    x = 6,129,036,509.95/78,505.86
  6. Step 6: Final answer
    x = 78,071.07

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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.