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Finding the Fourth Proportional to 77,709.86, 116,564.78 and 51,408.44

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Solution

The fourth proportional to 77,709.86, 116,564.78 and 51,408.44 is: 77,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.86 : 116,564.78 = 51,408.44 : x
  2. Step 2: Convert to fraction form
    77,709.86/116,564.78 = 51,408.44/x
  3. Step 3: Cross multiply
    77,709.86x = 116,564.78 × 51,408.44
  4. Step 4: Simplify right side
    77,709.86x = 5,992,413,533.11
  5. Step 5: Solve for x
    x = 5,992,413,533.11/77,709.86
  6. Step 6: Final answer
    x = 77,112.66

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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.