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Finding the Fourth Proportional to 77,805.36, 107,369.96 and 43,813.72

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Solution

The fourth proportional to 77,805.36, 107,369.96 and 43,813.72 is: 60,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,805.36 : 107,369.96 = 43,813.72 : x
  2. Step 2: Convert to fraction form
    77,805.36/107,369.96 = 43,813.72/x
  3. Step 3: Cross multiply
    77,805.36x = 107,369.96 × 43,813.72
  4. Step 4: Simplify right side
    77,805.36x = 4,704,277,363.85
  5. Step 5: Solve for x
    x = 4,704,277,363.85/77,805.36
  6. Step 6: Final answer
    x = 60,462.12

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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.