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Finding the Fourth Proportional to 77,456.62, 106,898.33 and 43,474.29

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Solution

The fourth proportional to 77,456.62, 106,898.33 and 43,474.29 is: 59,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.62 : 106,898.33 = 43,474.29 : x
  2. Step 2: Convert to fraction form
    77,456.62/106,898.33 = 43,474.29/x
  3. Step 3: Cross multiply
    77,456.62x = 106,898.33 × 43,474.29
  4. Step 4: Simplify right side
    77,456.62x = 4,647,328,998.94
  5. Step 5: Solve for x
    x = 4,647,328,998.94/77,456.62
  6. Step 6: Final answer
    x = 59,999.12

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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.